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  • 1
    Online Resource
    Online Resource
    Algebras of multiplace functions (2012)
    Berlin [u.a.] : de Gruyter
    Details
    UID:
    almahu_9947359978902882
    Format: Online-Ressource (PDF-Dateien: X, 389 S)
    Edition: Online-Ausg.
    ISBN: 9783110269307
    Content: This monograph is the first one in Englishmathematical literature which is devoted to the theory of algebras of functions of several variables. The book contains a comprehensive survey of main topics of this interesting theory. In particular the authors study the notion of Menger algebras and its generalizations in very systematic way. Readers are provided with complete bibliography as well as with systematic proofs of these results
    Content: This monograph is the first one in Englishmathematical literature which is devoted to the theory of algebras of functions of several variables. The book contains a comprehensive survey of main topics of this interesting theory. In particular the authors study the notion of Menger algebras and its generalizations in very systematic way. Readers are provided with complete bibliography as well as with systematic proofs of these results. Wieslaw A. Dudek, Politechnika Wroczawska, Wroczaw, Poland; Valentin S. Trokhimenko, Pedagogical University, Vinnitsa, Ukraine.
    Note: Description based upon print version of record , 3.4 (⋏)-, (⋎)-, (⋏, ⋎)-Menger algebras3.5 Subtraction Menger algebras; 3.6 Restrictive Menger algebras; 3.7 Functional Menger systems; 3.8 Notes on Chapter 3; 4 Relations between functions; 4.1 Stabilizers of Menger algebras; 4.2 Stabilizers of functional Menger systems; 4.3 Stationary subsets; 4.4 Semi-compatibility relation; 4.5 Co-definability relation; 4.6 Connectivity relation; 4.7 Projection equivalence relation; 4.8 Semiadjacency relation; 4.9 Notes on Chapter 4; 5 (2, n)-semigroups of functions; 5.1 (2, n)-semigroups and their representations; 5.2 Menger (2, n)-semigroups. , 5.3 Projection relations on (2, n)-semigroups5.4 Notes on Chapter 5; 6 Systems of multiplace functions; 6.1 Menger systems; 6.2 Menger T-systems; 6.3 Positional algebras; 6.4 Mal'cev-Post iterative algebras; 6.5 Semigroups of functions; 6.6 Central semigroups of operations; 6.7 Algebras of vector-valued functions; 6.8 Notes on Chapter 6; 7 Open problems; 7.1 Closure operations; 7.2 Menger algebras of functions; 7.3 Menger algebras of relations; 7.4 (2, n)-semigroups; 7.5 Systems of multiplace functions; Bibliography; Index of notations; Index. , Preface; 1 Main concepts; 1.1 Elements of theory of relations; 1.2 Functions and operations; 1.3 Algebraic systems; 1.4 Closure operations; 1.5 Notes on Chapter 1; 2 Menger algebras of functions; 2.1 Definitions and fundamental notions; 2.2 Menger semigroups; 2.3 v-regular Menger algebras; 2.4 i-solvable Menger algebras; 2.5 Group-like Menger algebras; 2.6 Antisymmetric Menger algebras; 2.7 Representations of Menger algebras; 2.8 Notes on Chapter 2; 3 Ordered Menger algebras; 3.1 Menger algebras of relations; 3.2 F.o. and p.q-o. Menger algebras; 3.3 Algebras of reversive functions.
    Language: English
    Subjects: Mathematics
    RVK:
    SK 200
    Keywords: Electronic books ; Electronic books
    DOI: 10.1515/9783110269307
    URL: http://www.degruyter.com/doi/book/10.1515/9783110269307
    URL: http://www.degruyter.com/viewbooktoc/product/179644
    URL: Cover
    URL: Volltext
    URL: Volltext
    URL: Volltext
    URL: Cover
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    URL: Inhaltstext
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  • 2
    Online Resource
    Online Resource
    Algebras of Multiplace Functions (2012)
    Berlin : de Gruyter
    Details
    UID:
    gbv_1655740938
    Format: 1 Online-Ressource (X, 389 Seiten)
    ISBN: 9783110269307
    Content: This monograph is the first one in Englishmathematical literature which is devoted to the theory of algebras of functions of several variables. The book contains a comprehensive survey of main topics of this interesting theory. In particular the authors study the notion of Menger algebras and its generalizations in very systematic way. Readers are provided with complete bibliography as well as with systematic proofs of these results
    Content: This monograph is the first one in Englishmathematical literature which is devoted to the theory of algebras of functions of several variables. The book contains a comprehensive survey of main topics of this interesting theory. In particular the authors study the notion of Menger algebras and its generalizations in very systematic way. Readers are provided with complete bibliography as well as with systematic proofs of these results. Wieslaw A. Dudek, Politechnika Wroczawska, Wroczaw, Poland; Valentin S. Trokhimenko, Pedagogical University, Vinnitsa, Ukraine.
    Note: In English
    Additional Edition: ISBN 9783110269284
    Additional Edition: Erscheint auch als Druck-Ausgabe Dudek, Wiesław A. Algebras of multiplace functions Berlin [u.a.] : De Gruyter, 2012 ISBN 9783110269284
    Additional Edition: ISBN 3110269287
    Language: English
    Subjects: Mathematics
    RVK:
    SK 200
    Keywords: Algebraische Struktur ; Funktion ; Mehrere Variable
    DOI: 10.1515/9783110269307
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
    URL: Cover
    URL: Inhaltstext
    URL: Cover
    Author information: Dudek, Wiesław A.
    Author information: Trochymenko, Valentyn Stepanovyč
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 3
    Online Resource
    Online Resource
    Algebras of Multiplace Functions / (2012)
    Berlin ;Boston :De Gruyter,
    Details
    UID:
    edocfu_9958353933902883
    Format: 1 online resource (399p.)
    ISBN: 9783110269307
    Content: This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this area, covering mainly Russian literature. It aresses all algebraist working in the area of universal algebras, semigroup theory. It is also fruitful source for graduate and PhD students who are starting their research in this area. The book is the first monograph in English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras and its generalizations and applications. The results presented here were originally published mostly in Russian literature: In 2006 the first version of this book was edited in Russian; now is presented an extended version. Two big new and very important chapters are added. The monograph is a very good survey of unknown or little-known Russian literature on algebras of multiplace functions. It uncovers to the mathematical community a beautiful and strongly developing theory.
    Note: Frontmatter -- , Preface -- , Contents -- , Chapter 1. Main concepts -- , Chapter 2. Menger algebras of functions -- , Chapter 3. Ordered Menger algebras -- , Chapter 4. Relations between functions -- , Chapter 5. (2, n)-semigroups of functions -- , Chapter 6. Systems of multiplace functions -- , Chapter 7. Open problems -- , Bibliography -- , Index of notations -- , Index , In English.
    Additional Edition: ISBN 978-3-11-026928-4
    Language: English
    DOI: 10.1515/9783110269307
    URL: https://doi.org/10.1515/9783110269307
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    FU Berlin
  • 4
    Book
    Book
    Algebras of multiplace functions / (2012)
    Berlin [u.a.] :De Gruyter,
    Details
    UID:
    almahu_BV040418745
    Format: X, 389 S. ; , 240 mm x 170 mm.
    ISBN: 978-3-11-026928-4
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-026930-7
    Language: English
    Subjects: Mathematics
    RVK:
    SK 200
    Keywords: Algebraische Struktur ; Funktion ; Mehrere Variable
    URL: Inhaltstext
    URL: Inhaltsverzeichnis
    Author information: Dudek, Wiesław A.
    Author information: Trochymenko, Valentyn Stepanovyč.
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    Book
    HU Berlin get availability status
  • 5
    Online Resource
    Online Resource
    Algebras of multiplace functions / (2012)
    Berlin ; : De Gruyter,
    Details
    UID:
    edocfu_9959242398402883
    Format: 1 online resource (400 p.)
    Edition: 1st ed.
    ISBN: 9786613940711 , 1-283-62826-0
    Content: This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also a useful source of information for graduate and PhD students who are starting their research in this area. The book is the first monograph in the English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras, and its generalizations and applications. The results presented here were originally published mostly in the Russian literature: In 2006, the first version of this book was edited in Russian and it is now presented in an extended version, where two new and very important chapters are added. The monograph is a broad survey of unknown or little-known Russian literature on algebras of multiplace functions and presents to the mathematical community a beautiful and strongly developing theory.
    Note: Description based upon print version of record. , Front matter -- , Preface -- , Contents -- , Chapter 1. Main concepts -- , Chapter 2. Menger algebras of functions -- , Chapter 3. Ordered Menger algebras -- , Chapter 4. Relations between functions -- , Chapter 5. (2, n)-semigroups of functions -- , Chapter 6. Systems of multiplace functions -- , Chapter 7. Open problems -- , Bibliography -- , Index of notations -- , Index , English
    Additional Edition: ISBN 3-11-026930-9
    Additional Edition: ISBN 3-11-026928-7
    Language: English
    Subjects: Mathematics
    RVK:
    SK 200
    DOI: 10.1515/9783110269307
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Open Access Request
    FU Berlin
  • 6
    Online Resource
    Online Resource
    Algebras of Multiplace Functions / (2012)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949462111902882
    Format: 1 online resource (389 p.)
    ISBN: 9783110269307 , 9783110238570
    Content: This monograph is devoted to various types of algebras of functions with n variables. It is the first complete monograph (in English) on this topic, covering mainly the Russian literature. It is addressed to all algebraists working in the area of universal algebras, semigroup theory, etc. It is also a useful source of information for graduate and PhD students who are starting their research in this area. The book is the first monograph in the English mathematical literature which provides readers with a very systematical study of the notion of Menger algebras, and its generalizations and applications. The results presented here were originally published mostly in the Russian literature: In 2006, the first version of this book was edited in Russian and it is now presented in an extended version, where two new and very important chapters are added. The monograph is a broad survey of unknown or little-known Russian literature on algebras of multiplace functions and presents to the mathematical community a beautiful and strongly developing theory.
    Note: Frontmatter -- , Preface -- , Contents -- , Chapter 1. Main concepts -- , Chapter 2. Menger algebras of functions -- , Chapter 3. Ordered Menger algebras -- , Chapter 4. Relations between functions -- , Chapter 5. (2, n)-semigroups of functions -- , Chapter 6. Systems of multiplace functions -- , Chapter 7. Open problems -- , Bibliography -- , Index of notations -- , Index , 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 Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
    In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
    In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012, De Gruyter, 9783110288995
    In: E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012, De Gruyter, 9783110293722
    In: E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012, De Gruyter, 9783110288926
    Additional Edition: ISBN 9783110269284
    Language: English
    Subjects: Mathematics
    RVK:
    SK 200
    DOI: 10.1515/9783110269307
    URL: https://doi.org/10.1515/9783110269307
    URL: https://www.degruyter.com/isbn/9783110269307
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    HU Berlin
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