Format:
1 online resource (336 pages)
ISBN:
9781607501121
Series Statement:
NATO Science Series, III: Computer and Systems Sciences Series v.196
Content:
This publication gives a good insight in the interplay between commutative and non-commutative algebraic geometry. The theoretical and computational aspects are the central theme in this study. The topic is looked at from different perspectives in over 20 lecture reports. It emphasizes the current trends in commutative and non-commutative algebraic geometry and algebra. The contributors to this publication present the most recent and state-of-the-art progresses which reflect the topic discussed in this publication. Both researchers and graduate students will find this book a good source of information on commutative and non-commutative algebraic geometry.
Content:
Title page -- Preface -- Contents -- Noncommutative Algebraic Geometry and Algebra -- The Structure of Simp〈infty (A) for Finitely Generated k-algebras A1 -- On Preimages of Ideals in Certain Non-commutative Algebras -- Commutative Algebraic Geometry and Algebra -- Maximal Cohen-Macaulay Modules and Stable Vector Bundles -- On the Contact with the Polar -- On Some Generalization of Schubert's Varieties -- Lifting an Ideal from a Tight Bourbaki Sequence and Maximal Cohen-Macaulay Modules -- Some Applications of Resolution of Singularities from the Practical Point of View -- Finite Free Resolutions -- Computing the Integral Closure of an Ideal Using its Rees Algebra -- Modular Strata of Deformation Functors -- Algebraic Dependence of Polynomials After O. Perron and Some Applications -- A Remark on MCM-modules of Rank One Over a Smooth Plane Cubic -- Computer Algebra -- Problems in Interaction with the Computer Algebra System BERGMAN -- Involutive Algorithms for Computing Grobner Bases -- Idealization of Modules in Computer Algebra -- Algorithmic Problems in SAGBI Basis Calculations -- Topology and Differential Equations -- On Group Topologies on an Abelian Group Preceding One Another -- Commutative and Non-Commutative Algebras in the Study of Differential Equations -- Projective Planes and Quasigroups -- About the Description of All Projective Planes of the Prime Power Order -- On Simple n-ary Medial Quasigroups -- Author Index.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
9781586035051
Additional Edition:
Erscheint auch als Druck-Ausgabe 9781586035051
Language:
English
URL:
Volltext
(lizenzpflichtig)
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