Kooperativer Bibliotheksverbund

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Format: XIII, 376 Seiten.

ISBN: 3-540-13905-2 , 0-387-13905-2

Series Statement: Lecture notes in mathematics 1099

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-540-39127-2

Language: English

Subjects: Mathematics

Keywords: Zahme Algebra ; Darstellungstheorie ; Ganzzahlige quadratische Form ; Modulkategorie ; Endliche Algebra ; Darstellungstheorie ; Quadratische Form ; Algebra ; Dimension n ; Darstellungstheorie

Author information: Ringel, Claus Michael, 1945-,

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Format: 1 Online-Ressource

ISBN: 9783540139058

Series Statement: Lecture notes in mathematics 1099

Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-540-39127-2

Language: English

Keywords: Zahme Algebra ; Darstellungstheorie ; Endliche Algebra ; Darstellungstheorie ; Quadratische Form ; Algebra ; Dimension n ; Darstellungstheorie ; Ganzzahlige quadratische Form ; Modulkategorie

DOI: 10.1007/BFb0072870

URL: Volltext

Author information: Ringel, Claus Michael 1945-

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Format: IX, 439 p. , online resource.

ISBN: 9783034884266

Series Statement: Trends in Mathematics

Content: This volume presents the invited lectures of a conference devoted to Infinite Length Modules, held at Bielefeld, September 7-11, 1998. Some additional surveys have been included in order to establish a unified picture. The scientific organization of the conference was in the hands of K. Brown (Glasgow), P. M. Cohn (London), I. Reiten (Trondheim) and C. M. Ringel (Bielefeld). The conference was concerned with the role played by modules of infinite length when dealing with problems in the representation theory of algebras. The investi­ gation of such modules always relies on information concerning modules of finite length, for example simple modules and their possible extensions. But the converse is also true: recent developments in representation theory indicate that a full un­ derstanding of the category of finite dimensional modules, even over a finite dimen­ sional algebra, requires consideration of infinite dimensional, thus infinite length, modules. For instance, the important notion of tameness uses one-parameter fami­ lies of modules, or, alternatively, generic modules and they are of infinite length. If one tries to exhibit a presentation of a module category, it turns out to be essential to take into account the indecomposable modules which are algebraically compact, or, equivalently, pure injective. Specific methods have been developed over the last few years dealing with such special situations as group algebras of finite groups or noetherian rings, and there are surprising relations to topology and geometry. The conference outlined the present state of the art.

Note: Infinite length modules. Some Examples as Introduction -- Modules with strange decomposition properties -- Failure of the Krull-Schmidt theorem for artinian modules and serial modules -- Artinian modules over a matrix ring -- Some combinatorial principles for solving algebraic problems -- Dimension theory of noetherian rings -- Krull, Gelfand-Kirillov, Filter, Faithful and Schur dimensions -- Cohen-Macaulay modules and approximations -- The generic representation theory of finite fields A survey of basic structures -- On artinian objects in the category of functors between $${{\mathbb{F}}_{2}} $$ -vector spaces -- Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces -- Infinite dimensional modules for finite groups -- Bousfield localization for representation theoretists -- The thick subcategory generated by the trivial module -- Birational classification of moduli spaces -- Tame algebras and degenerations of modules -- On some tame and discrete families of modules -- Purity, algebraic compactness, direct sum decompositions, and representation type -- Topological and geometrical aspects of the Ziegler spectrum -- Finite versus infinite dimensional representations A new definition of tameness -- Invariance of tameness under stable equivalence:Krause’s theorem -- The Krull-Gabriel dimension of an algebra Open problems and conjectures -- Homological differences between finite and infinite dimensional representations of algebras.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9783034895620

Language: English

DOI: 10.1007/978-3-0348-8426-6

URL: http://dx.doi.org/10.1007/978-3-0348-8426-6

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: Volltext

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Format: 1 online resource (1411 p.) : , Num. figs.

ISBN: 9783110333299 , 9783110238570

Series Statement: Process Thought , 10

Content: Gathering 115 entries written by 101 internationally renowned experts in their fields, the Handbook of Whiteheadian Process Thought aims at canvassing the current state of knowledge in Whiteheadian scholarship and at identifying promising directions for future investigations through (internal) cross-elucidation and (external) interdisciplinary development. Two kinds of entries are weaved together in order to interpret Whitehead secundum Whitehead and to read him from the vantage point of interdisciplinary and crossdisciplinary research. The "thematic " entries provide (i) a broad contextualisation of the issue at stake; (ii) a focus on Whitehead's treatment (if any) or of a possible Whiteheadian treatment of the issue; (iii) a history of relevant scholarship; (iv) a personal assessment by the Author. The "biographical " entries provide (i) a brief vita of the targeted thinker; (ii) a sketch of his/her categories relevant to the Whiteheadian scholarship; (iii) a personal assessment of the actual (or possible) Whiteheadian semantic transfer to or from the thinker.

Note: Volume I-Thematic Entries -- , Frontmatter -- , Contents -- , Abbreviations -- , Preface -- , I. Introduction -- , II. Aesthetics -- , Cosmological and Civilized Harmonies -- , III. Anthropology -- , Communities and Destinies -- , IV. Ecology -- , Ecology Between Natural Science and Environmental Ethics -- , Ecofeminism: Women, Nature, Dualism and Process-Relational Philosophy -- , Works Cited and Further Readings -- , V. Economy -- , Whitehead on Economics -- , Addendum: Further Commentary on the Work of Economist Herman Daly -- , Contemporary Schools of Economic Thought -- , Management and Organization Studies -- , Action, Entrepreneurship and Evolution -- , Ecological Economics and Human Ecology -- , Works Cited and Further Readings -- , VI. Education Whitehead's Philosophy of Education: Its Promise and Relationship to the Philosophy of Organism Whitehead's Philosophy of Education: Its Promise and Relationship to the Philosophy of Organism -- , Whitehead's Philosophy of Education: Its Promise and Relationship to the Philosophy of Organism -- , Education as Creative Power -- , Works Cited and Further Readings -- , VII. Ethics -- , Process and Morality -- , Nonhuman Animal Rights -- , Works Cited and Further Readings -- , VIII. History -- , Process Interpretations of History -- , IX. Metaphysics -- , Metaphysics and Cosmology -- , The Mystery of Creativity -- , Intensity and Subjectivity -- , Extension and the Theory of the Physical Universe -- , Speculative Metaphysics with Applications: A Whiteheadian Way Forward -- , The Unifying Moment: Toward a Theory of Complexity -- , Pragmatism and Process -- , Phenomenology and Metaphysics -- , Whitehead's Interpretation of Zeno -- , Works Cited and Further Readings -- , X. Psychology and the Philosophy of Mind -- , Process Metapsychology -- , Consciousness and the Physical World -- , Mind-Body Problem and Panpsychism -- , Hypnosis: Panpsychism in Action -- , The Experimental Examination of Process -- , Process Neuropsychology, Microgenetic Theory and Brain Science -- , A Whiteheadian Enquiry Concerning Ethnopsychoanalysis -- , Works Cited and Further Readings -- , XI. Public Policy and Natural Law -- , Political Theory -- , Whiteheadian Public Policy: Depolarization for Network Coalescence -- , Prolegomena to a Process Theory of Natural Law -- , Saving Civilization: Straussian and Whiteheadian Political Philosophy -- , Works Cited and Further Readings -- , XII. Sociology of Science -- , Kuhn and Whitehead -- , XIII. Theology and Religion -- , Whitehead's Rethinking of the Problem of Evil -- , Whitehead's Natural Theology: The Implications of Order and Novelty -- , Contact Made Vision: The Apocryphal Whitehead -- , Islam and Process Theology -- , Whitehead and Chinese Philosophy: The Ontological Principle and Huayan Buddhism's Concept of shi -- , Works Cited and Further Readings -- , XIV. Theory of Knowledge -- , Symbolism: The Organic Functioning of Reason -- , The Method of Extensive Abstraction: The Construction of Objects -- , Time and Experience -- , Works Cited and Further Readings -- , XV. Urbanism and Architecture -- , Cosmological and Urban Spaces -- , Analytic Table of Contents -- , Volume II - Thematic Entries; Biographical Entries; Critical Apparatus -- , Frontmatter -- , Contents -- , Abbreviations -- , XVI. Language -- , Theory of Language -- , Whiteheadian and Functional Linguistics -- , Pattern and Process -- , Pragmaticism and Semiotics -- , Whitehead's Construction of Time: A Linguistic Approach -- , XVII. Mathematics and Logic -- , Whitehead's Universal Algebra -- , Vector Mathematics: Symbol versus Form -- , Foundations of Mathematics and Logicism -- , Order and Change: The Memoir "On Mathematical Concepts of the Material World" -- , Mathematical Features of Whitehead's Point-free Geometry -- , Extension in PR Part IV -- , XVIII. Sciences -- , Biology -- , Chemistry -- , On Molecules and Their Chemical Transformation -- , Ontologically Significant Aggregation: Process Structural Realism (PSR) -- , Computer Science: Form without Content -- , Quantum Mechanics -- , Quantum Theory and Process Metaphysics: The Mechanics of Concrescence -- , Quantum Mechanics and Panpsychism -- , Relativity Physics -- , Physics and Relativity -- , Durations and Simultaneities: Temporal Perspectives and Relativistic Time in Whitehead and Bergson -- , XIX. Biographical entries -- , Whitehead's Historico-Speculative Context -- , Whitehead's Contemporaries -- , Whitehead's Scholarly Legacy: American Pioneers -- , Whitehead's Scholarly Legacy: European Pioneers -- , XX. Critical Apparatus -- , General Bibliography -- , Index of Subjects -- , Index of Names -- , Detailed Table of Contents -- , Backmatter , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Philosophy 2000-2014 (EN), De Gruyter, 9783110238488

In: DGBA Philosophy 2000 - 2014, De Gruyter, 9783110636949

In: eBook Package De Gruyter Ontos 2002-2012, De Gruyter, 9783110331226

In: eBook Paket De Gruyter Ontos 2002-2012, De Gruyter, 9783110331219

Additional Edition: ISBN 9783110333084

Language: English

DOI: 10.1515/9783110333299

URL: https://doi.org/10.1515/9783110333299

URL: https://www.degruyter.com/isbn/9783110333299

URL: Cover

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: Cover

URL: Cover

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Format: XVI, 380 p. , online resource.

ISBN: 9783540391272

Series Statement: Lecture Notes in Mathematics, 1099

Note: Integral quadratic forms -- Quivers, module categories, subspace categories (Notation, results, some proofs) -- Construction of stable separating tubular families -- Tilting functors and tubular extensions (Notation, results, some proofs) -- Tubular algebras -- Directed algebras.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9783540139058

Language: English

Subjects: Mathematics

DOI: 10.1007/BFb0072870

URL: http://dx.doi.org/10.1007/BFb0072870

URL: Volltext  (lizenzpflichtig)

URL: Volltext  (Deutschlandweit zugänglich)

URL: Cover

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Format: III, 57 S.: graph.Darst.

ISBN: 0821818732

Series Statement: Memoirs of the American Mathematical Society 173

Note: Volume 6, Number 173 (end of volume)

Language: English

Keywords: Graph ; Unzerlegbare Darstellung ; Algebra ; Unzerlegbare Darstellung

URL: Inhaltstext

Author information: Ringel, Claus Michael 1945-

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Format: xvii, 479 Seiten : , Illustrationen, Diagramme.

ISBN: 0-8218-3416-9 , 978-0-8218-3416-9

Series Statement: Fields Institute communications 40

Note: Auf dem hinteren Cover: "These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute."

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-4704-3074-0

Language: English

Keywords: Konferenzschrift ; Konferenzschrift

URL: Inhaltsverzeichnis

URL: Inhaltsverzeichnis

URL: Inhaltstext

Author information: Ringel, Claus Michael, 1945-

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Format: 1 Online-Ressource (IX, 522 p)

ISBN: 9783034886581 , 9783034897204

Series Statement: Progress in Mathematics 95

Note: From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di­ mensional Algebras". The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re­ search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni­ versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.

Language: English

Keywords: Algebra ; Dimension n ; Darstellungstheorie ; Endliche Gruppe ; Darstellungstheorie ; Konferenzschrift ; Konferenzschrift

DOI: 10.1007/978-3-0348-8658-1

URL: Volltext

Author information: Ringel, Claus Michael 1945-

Author information: Michler, Gerhard O. 1938-

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Format: 1 Online-Ressource (XIV, 357 p)

ISBN: 9783034887168 , 9783034897402

Series Statement: Progress in Mathematics 173

Note: A joint research project of algebraists from the universities of Antwerp, Biele­ feld, Essen, Leeds, Paris VI and Trondheim on "Invariants and Representations of Algebras" has been supported from 1991 to 1997 by the European Union programmes "Science" and "Human Capital and Mobility", it was coordinated by Mme M. -P. Malliavin (Paris VI). Later, algebraists from the universities of Edinburgh, Ioannina, Murcia and Torun joined the collaboration. This network is now coordinated by C. M. Ringel (Bielefeld). It has received funds from the European Commission in order to organize four conferences as part of the pro­ gramme "Training and Mobility of Researchers", to be held during the period 1997-1999 at Essen, Murcia, Bielefeld and Ioannina. The first Euroconference of this series took place at the University of Essen, April 1-4, 1997. It was devoted to "Computational Methods for Representations of Groups and Algebras" . The organizers were P. Draxler (Bielefeld) and G. Michler (Essen). This volume collects most of the material presented at the conference. There had been an additional introductory lecture by H. Gollan; it is not included here, since its contents is available in the lecture notes: P. Fleischmann, G. O. Michler, P. Roelse, J. Rosenboom, R. Staszewski, C. Wagner, M. Weller, "Linear algebra over small finite fields on parallel machines", Vorlesungen Fachbereich Math. Univ. Essen, 23 (1995). Together with these notes, this volume will provide a survey on the present state of art

Language: English

DOI: 10.1007/978-3-0348-8716-8

URL: Volltext

Author information: Ringel, Claus Michael 1945-

Author information: Michler, Gerhard O. 1938-

UID:

Format: 160 Blätter.

Series Statement: Carleton Mathematical Lecture Notes 2

Language: English

Subjects: Mathematics

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009205947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

Author information: Ringel, Claus Michael 1945-