Arithmetical Rings and Endomorphisms

Arithmetical Rings and Endomorphisms
Title Arithmetical Rings and Endomorphisms PDF eBook
Author Askar Tuganbaev
Publisher Walter de Gruyter GmbH & Co KG
Pages 176
Release 2019-06-04
Genre Mathematics
ISBN 3110659824

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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.

Arithmetical Rings and Endomorphisms

Arithmetical Rings and Endomorphisms
Title Arithmetical Rings and Endomorphisms PDF eBook
Author Askar Tuganbaev
Publisher Walter de Gruyter GmbH & Co KG
Pages 288
Release 2019-06-04
Genre Mathematics
ISBN 3110659158

Download Arithmetical Rings and Endomorphisms Book in PDF, Epub and Kindle

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.

Commutative Algebra

Commutative Algebra
Title Commutative Algebra PDF eBook
Author Aron Simis
Publisher Walter de Gruyter GmbH & Co KG
Pages 356
Release 2020-03-09
Genre Mathematics
ISBN 311061698X

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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.

Laurent Series Rings and Related Rings

Laurent Series Rings and Related Rings
Title Laurent Series Rings and Related Rings PDF eBook
Author Askar Tuganbaev
Publisher Walter de Gruyter GmbH & Co KG
Pages 150
Release 2020-09-21
Genre Mathematics
ISBN 311070224X

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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.

Some Problems of Unlikely Intersections in Arithmetic and Geometry

Some Problems of Unlikely Intersections in Arithmetic and Geometry
Title Some Problems of Unlikely Intersections in Arithmetic and Geometry PDF eBook
Author Umberto Zannier
Publisher Princeton University Press
Pages 174
Release 2012-03-25
Genre Mathematics
ISBN 0691153701

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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.

Mathematics of the USSR.
Title Mathematics of the USSR. PDF eBook
Author
Publisher
Pages 642
Release 1967
Genre American periodicals
ISBN

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Handbook of Algebra

Handbook of Algebra
Title Handbook of Algebra PDF eBook
Author M. Hazewinkel
Publisher Elsevier
Pages 899
Release 2000-04-06
Genre Mathematics
ISBN 0080532969

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Handbook of Algebra