04468nam 2200709Ia 450 991078342040332120200520144314.066102434251-280-24342-297866102434261-4294-0197-41-60750-112-0600-00-0371-41-60129-093-4(CKB)1000000000243900(EBL)265932(OCoLC)228142032(SSID)ssj0000127573(PQKBManifestationID)11144064(PQKBTitleCode)TC0000127573(PQKBWorkID)10053251(PQKB)10136072(MiAaPQ)EBC265932(Au-PeEL)EBL265932(CaPaEBR)ebr10130673(CaONFJC)MIL24342(PPN)241634873(EXLCZ)99100000000024390020050713d2005 uy 0engur|n|---|||||txtccrComputational commutative and non-commutative algebraic geometry[electronic resource] /edited by Svetlana Cojocaru, Gerhard Pfister, Victor UfnarovskiAmsterdam ;Oxford IOS Press20051 online resource (336 p.)NATO science series. Series III, Computer and systems sciences,1387-6694 ;v. 196"Proceedings of the NATO Advanced Research Workshop on Computational Commutative and Non-commutative Algebraic Geometry"--t.p. verso. - Published in conjunction with NATO Public Diplomacy Division.1-58603-505-3 Includes bibliographical references and index.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 ResolutionsComputing the Integral Closure of an Ideal Using its Rees AlgebraModular 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 AnotherCommutative and Non-Commutative Algebras in the Study of Differential EquationsProjective Planes and Quasigroups; About the Description of All Projective Planes of the Prime Power Order; On Simple n-ary Medial Quasigroups; Author IndexThis 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 infNATO science series.Series III,Computer and systems sciences ;v. 196.Geometry, AlgebraicData processingCongressesGeometryData processingCongressesGeometry, AlgebraicData processingGeometryData processing516.35Cojocaru Svetlana1538320Pfister Gerhard1947-57009Ufnarovski Victor1538321North Atlantic Treaty Organization.Public Diplomacy Division.MiAaPQMiAaPQMiAaPQBOOK9910783420403321Computational commutative and non-commutative algebraic geometry3788307UNINA