Описание: Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics. The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almer?a and the University of M?laga. Dr.Kaidi's work focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.
Автор: Sather Wagstaff Sean Название: Progress in Commutative Algebra 2 ISBN: 3110278596 ISBN-13(EAN): 9783110278590 Издательство: Walter de Gruyter Рейтинг: Цена: 29744.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry).
This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure.
Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.
Автор: Patil Dilip P Et Al Название: Introduction To Algebraic Geometry And Commutative Algebra ISBN: 9814304565 ISBN-13(EAN): 9789814304566 Издательство: World Scientific Publishing Рейтинг: Цена: 11405.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for a graduate course in pure mathematics, this title provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. It delves into the rich interplay between algebraic geometry and commutative algebra.
Автор: J. Carmona; M. Vergne Название: Non Commutative Harmonic Analysis and Lie Groups ISBN: 3540127178 ISBN-13(EAN): 9783540127178 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: J. Carmona; M. Vergne Название: Non Commutative Harmonic Analysis and Lie Groups ISBN: 3540108726 ISBN-13(EAN): 9783540108726 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Jaques Carmona; Patrick Delorme; Michele Vergne Название: Non-Commutative Harmonic Analysis and Lie Groups ISBN: 3540177019 ISBN-13(EAN): 9783540177012 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.
Автор: S.T. Chapman; Sarah Glaz Название: Non-Noetherian Commutative Ring Theory ISBN: 144194835X ISBN-13(EAN): 9781441948359 Издательство: Springer Рейтинг: Цена: 30606.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: H. Marubayashi; Haruo Miyamoto; Akira Ueda Название: Non-Commutative Valuation Rings and Semi-Hereditary Orders ISBN: 9048148537 ISBN-13(EAN): 9789048148530 Издательство: Springer Рейтинг: Цена: 18860.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Much progress has been made during the last decade on the subjects of non- commutative valuation rings, and of semi-hereditary and Priifer orders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu- tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings were first treat- ed systematically in Schilling's Book Sc], which are nowadays called invariant valuation rings, though invariant valuation rings can be traced back to Hasse's work in Has]. Since then, various attempts have been made to study the ideal theory of orders in finite dimensional algebras over fields and to describe the Brauer groups of fields by usage of "valuations," "places," "preplaces," "value functions" and "pseudoplaces." In 1984, N. 1. Dubrovin defined non-commutative valuation rings of simple Artinian rings with notion of places in the category of simple Artinian rings and obtained significant results on non-commutative valuation rings (named Dubrovin valuation rings after him) which signify that these rings may be the correct def- inition of valuation rings of simple Artinian rings. Dubrovin valuation rings of central simple algebras over fields are, however, not necessarily to be integral over their centers.
Автор: Martin Kreuzer; Lorenzo Robbiano Название: Computational Commutative Algebra 2 ISBN: 3642064914 ISBN-13(EAN): 9783642064913 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "The second volume of the authors` `Computational commutative algebra`...covers on its 586 pages a wealth of interesting material with several unexpected applications. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications."
Описание: This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk.
Автор: Irena Peeva Название: Commutative Algebra ISBN: 1489999078 ISBN-13(EAN): 9781489999078 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies.- Paul Aspinwall: Some Applications of Commutative Algebra to String Theory.- Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics.- Christine Berkesch, Daniel Erman, and Manoj Kumini: Three avors of extremal Betti tables.- Manuel Blickle and Karl Schwede: p1 linear maps in algebra and geometry.- Markus Brodmann, Cao Luy Linh, and Maria-Helena Seiler: Castelnuovo-Mumford Regularity of Annihilators, Ext-Modules and Tor-Modules.- David Buchsbaum: Selections From the Letter-Place Panoply.- Aldo Conca, Emanuella DeNegri, and Maria-Evelina Rossi: Bounds for the Castelnuovo-Mumford regularity and Koszul algebras.- Marc Chardin: Powers of ideals: Betti numbers, cohomology and regularity.- Hailong Dao: Some homological properties of modules over a complete intersection, with applications.- Christopher Francisco, Huy Tai Ha, and Jeffrey Mermin: Powers of squarefree ideals and combinatorics.- Graham Evans and Phillip Griffith: A Brief History of Order Ideals.- Laurent Gruson, Steven Sam, and Jerzy Weyman: Moduli of Abelian varieties, Vinberg 0-groups, and free resolutions.- Melvin Hochster: F-purity, Frobenius splitting, and tight closure.- Craig Huneke: Hilbert-Kunz multiplicity and the F-signature.- Juan Migliore, Uwe Nagel, and Fabrizio Zanello: Pure O-sequences: known results, applications and open problems.- Jason McCullough and Alexandra Seceleanu: Bounding projective dimension.- Graham Leuschke and Roger Wiegand: Brauer-Thrall theory for Maximal Cohen-Macaulay modules.- Paul Monsky: Tight closure's failure to localize -- a self-contained exposition.- Giorgio Ottaviani: Introduction to the hyperdeterminant and to the rank of multidimensional matrices.- Henry Schenck and Jessica Sidman: Commutative Algebra of Subspace and Hyperplane Arrangements.- Wolmer Vasconcelos: Cohomological Degrees and Applications.
Автор: Marco Fontana; Sophie Frisch; Sarah Glaz Название: Commutative Algebra ISBN: 149390924X ISBN-13(EAN): 9781493909247 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions.
Specific topics include:
- Homological dimensions of Pr fer-like rings
- Quasi complete rings
- Total graphs of rings
- Properties of prime ideals over various rings
- Bases for integer-valued polynomials
- Boolean subrings
- The portable property of domains
- Probabilistic topics in Intn(D)
- Closure operations in Zariski-Riemann spaces of valuation domains
- Stability of domains
- Non-Noetherian grade
- Homotopy in integer-valued polynomials
- Localizations of global properties of rings
- Topics in integral closure
- Monoids and submonoids of domains
The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.
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