Arithmetical Rings And Endomorphisms
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Arithmetical Rings And Endomorphisms
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Author : Askar Tuganbaev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-06-04
Arithmetical Rings And Endomorphisms written by Askar Tuganbaev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 with Mathematics categories.
This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.
Laurent Series Rings And Related Rings
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Author : Askar Tuganbaev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-09-21
Laurent Series Rings And Related Rings written by Askar Tuganbaev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-21 with Mathematics categories.
In this book, ring-theoretical properties of skew Laurent series rings A((x; φ)) over a ring A, where A is an associative ring with non-zero identity element are described. In addition, we consider Laurent rings and Malcev-Neumann rings, which are proper extensions of skew Laurent series rings.
Commutative Algebra
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Author : Aron Simis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-03-09
Commutative Algebra written by Aron Simis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-09 with Mathematics categories.
This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second part covers material such as associated primes and primary decomposition, local rings, M-sequences and Cohen-Macaulay modules, and homological methods.
Some Problems Of Unlikely Intersections In Arithmetic And Geometry
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Author : Umberto Zannier
language : en
Publisher: Princeton University Press
Release Date : 2012-03-25
Some Problems Of Unlikely Intersections In Arithmetic And Geometry written by Umberto Zannier and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-25 with Mathematics categories.
This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multiplicative algebraic groups, presenting proofs of several developments, ranging from the origins to recent results, and discussing many applications and relations with other contexts. The second chapter considers an analogue in arithmetic and several applications of this. The third chapter introduces a new method for approaching some of these questions, and presents a detailed application of this (by Masser and the author) to a relative case of the Manin-Mumford issue. The fourth chapter focuses on the André-Oort conjecture (outlining work by Pila).
Mathematics Of The Ussr
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Author :
language : en
Publisher:
Release Date : 1967
Mathematics Of The Ussr written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with American periodicals categories.
Handbook Of Algebra
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Author : M. Hazewinkel
language : en
Publisher: Elsevier
Release Date : 2000-04-06
Handbook Of Algebra written by M. Hazewinkel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-06 with Mathematics categories.
Handbook of Algebra
Forcing Arithmetic Division Rings
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Author : J. Hirschfeld
language : en
Publisher: Springer
Release Date : 2006-11-15
Forcing Arithmetic Division Rings written by J. Hirschfeld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Commutative Ring Theory
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Author : Paul-Jean Cahen
language : en
Publisher: CRC Press
Release Date : 2023-06-14
Commutative Ring Theory written by Paul-Jean Cahen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with Mathematics categories.
Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
Multiplication Objects In Monoidal Categories
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Author : José Escoriza López
language : en
Publisher: Nova Publishers
Release Date : 2000
Multiplication Objects In Monoidal Categories written by José Escoriza López and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The main aim of this book is to study the concept of multiplication objects from a categorical point of view, namely, in the setting of monoidal categories which are responsible for the narrow relationship between quantum groups and knot theory. At the same time, the book brings together the literature on multiplication modules and rings, which has been scattered to date. This book organises and exposes them in a categorical framework by using functorial techniques. Multiplication modules and rings are framed inside commutative algebra, which is a basis for number theory and algebraic geometry. These include families of rings very important in ideal arithmetic such as regular von Neumann rings, Dedekind domains, hereditary rings or special primary rings. In the relative case, i.e., multiplication modules and rings with respect to a hereditary torsion theory, the most significant example is that of Krull domains (with respect to the classical torsion theory). As a consequence, we have an adequate setting to consider divisorial properties. As for the graded concept, it is possible to examine deep in the study of arithmetically graded rings such as generalized Rees rings, graded Dedekind domains, twisted group rings, etc. The book points out some different possibilities to deal with the topic, for example, semiring theory, lattice theory, comodule theory, etc.
Function Field Arithmetic
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Author : Dinesh S. Thakur
language : en
Publisher: World Scientific
Release Date : 2004
Function Field Arithmetic written by Dinesh S. Thakur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.