Model Theory Of Modules Algebras And Categories
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| Author | : Alberto Facchini |
| Publisher | : |
| Total Pages | : 250 |
| Release | : 1929 |
| Genre | : Algebra |
| ISBN | : 9781470452957 |
This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28-August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.
| Author | : Mike Prest |
| Publisher | : Cambridge University Press |
| Total Pages | : 402 |
| Release | : 1988-02-25 |
| Genre | : Mathematics |
| ISBN | : 0521348331 |
In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time.
| Author | : Alberto Facchini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 237 |
| Release | : 2019-05-31 |
| Genre | : Algebra |
| ISBN | : 1470443678 |
This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.
| Author | : Alexander Martsinkovsky |
| Publisher | : Springer Nature |
| Total Pages | : 256 |
| Release | : |
| Genre | : |
| ISBN | : 3031530632 |
| Author | : M Droste |
| Publisher | : CRC Press |
| Total Pages | : 512 |
| Release | : 2019-08-16 |
| Genre | : Mathematics |
| ISBN | : 1000717453 |
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
| Author | : A. J. Berrick |
| Publisher | : Cambridge University Press |
| Total Pages | : 384 |
| Release | : 2000-05-25 |
| Genre | : Mathematics |
| ISBN | : 9780521632768 |
This book, first published in 2000, is a concise introduction at graduate level to ring theory, module theory and number theory.
| Author | : Christian.U Jensen |
| Publisher | : Routledge |
| Total Pages | : 464 |
| Release | : 2022-03-11 |
| Genre | : Mathematics |
| ISBN | : 1351431129 |
This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book.
| Author | : Robert Wisbauer |
| Publisher | : Routledge |
| Total Pages | : 606 |
| Release | : 2018-05-11 |
| Genre | : Mathematics |
| ISBN | : 1351447351 |
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
| Author | : Idun Reiten |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 216 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9780821808504 |
Surveys developments in the representation theory of finite dimensional algebras and related topics in seven papers illustrating different techniques developed over the recent years. For graduate students and researchers with a background in commutative algebra, including rings, modules, and homological algebra. Suitable as a text for an advanced graduate course. No index. Member prices are $31 for institutions and $23 for individuals, and are available to members of the Canadian Mathematical Society. Annotation copyrighted by Book News, Inc., Portland, OR
| Author | : Toma Albu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 204 |
| Release | : 2011-02-04 |
| Genre | : Mathematics |
| ISBN | : 3034600070 |
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.
