Last edited by Jull
Tuesday, May 5, 2020 | History

4 edition of Abelian categories with applications to rings and modules found in the catalog.

Abelian categories with applications to rings and modules

by Nicolae Popescu

  • 339 Want to read
  • 5 Currently reading

Published by Academic Press in London, New York .
Written in English

    Subjects:
  • Abelian categories.,
  • Rings (Algebra),
  • Modules (Algebra)

  • Edition Notes

    Bibliography: p. 451-459.

    Statementby N. Popescu.
    SeriesL.M.S. monographs ;, 3
    Classifications
    LC ClassificationsQA169 .P64
    The Physical Object
    Paginationxii, 467 p.
    Number of Pages467
    ID Numbers
    Open LibraryOL5291981M
    ISBN 100125615507
    LC Control Number72012276

    modules over a graded ring form categories of the type σ[M]. For orientation, at the beginning of every section the titles of the para- graphs occurring in it are listed. Questions tagged [abelian-categories] Ask Question Abelian categories are categories that possess most of properties of categories of modules over a ring, and are easy to work with using techniques of homological algebra.

      Introduction: Laszlo Fuchs and his "moddom" work by L. Salce Survey articles: Error-correcting codes as ideals in group rings by A. V. Kelarev and P. Sole Homomorphisms and duality for torsion-free modules by B. Olberding Generalizations of isomorphism in torsion-free abelian groups by K. C. O'Meara and C. Vinsonhaler Automorphism groups of abelian groups by P. Schultz Contributed . Abelian groups, rings, modules, and homological algebra. Ed. by Pat Goeters and Overtoun M.G. Jenda. Chapman & Hall/CRC pages $ Hardcover Lecture notes in pure and applied mathematics; v QA

    Algebra: Rings, Modules and Categories I Carl Faith (auth.) VI of Oregon lectures in , Bass gave simplified proofs of a number of "Morita Theorems", incorporating ideas of Chase and Schanuel. One of the Morita theorems characterizes when there is an equivalence of categories mod-A R::! mod-B for two rings A and B. Morita's solution. This chapter discusses the trivial extensions of Abelian categories and applications to rings. It discusses the homological dimension of a map f: FA → B in terms of the homological dimensions of A, B, and the derived functors L i enables to show that the category of morphisms has finite finitistic dimension if both G and B have finite finitistic dimension, irrespective of the right Cited by: 7.


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Abelian categories with applications to rings and modules by Nicolae Popescu Download PDF EPUB FB2

Download abelian categories with applications to rings and modules or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get abelian categories with applications to rings and modules book now.

This site is like a library, Use search box in the widget to get ebook that you want. Abelian categories with applications to rings and modules | Popescu N. | download | B–OK. Download books for free. Find books. Abelian categories with applications to rings and modules, (L.M.S.

monographs) Hardcover – January 1, byCited by: In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties.

The motivating prototype example of an abelian category is the category of abelian groups, theory originated in an effort to unify several cohomology theories by Alexander Grothendieck and independently in the slightly. Get this from a library. Abelian categories with applications to rings and modules.

[Nicolae Popescu]. Abelian categories with applications to rings and modules. London, New York, Academic Press, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Nicolae Popescu.

Abelian categories with applications to rings and modules. Nicolae Popescu. Academic Press, - Mathematics - pages. 1 Review. From inside the book. What people are saying - Write a review. User Review - Flag as inappropriate. An excellent book on Abelian categories and their applications to rings, modules and ideals.

Highly recommended Reviews: 1. Browse other questions tagged category-theory homological-algebra abelian-categories or ask your own question. The Overflow Blog Socializing with co-workers while social distancing.

Popescu, Abelian categories with applications to rings and modules, London Mathematical Society Monographs 3, Academic Pressxii + pp Contents: Note to the reader.

Some terminology, notations and conventions used throughout the book. Categories and. These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory.

Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future study. Abelian categories with applications to rings and modules Full Description: " Abelian categories with applications to rings and modules improves brain quality.

Just like any other muscular body, the brain needs physical activity to keep it strong and healthy, so the phrase 'using it or losing it' is perfect when it comes to your mind. Abelian categories with applications to rings and modules. London, New York: Academic Press.

MLA Citation. Popescu, Nicolae. Abelian categories with applications to rings and modules, by N. Popescu Academic Press London, New York Australian/Harvard Citation.

Popescu, Nicolae. Trivial Extensions of Abelian Categories: Homological Algebra of Trivial Extensions of Abelian Catergories with Applications to Ring Theory (Lecture Notes in Mathematics) by Fossum, R.M., Griffith, P.A., Reiten, I.

and a great selection of related books, art and collectibles available now at. Abelian categories with applications to rings and modules: Popescu, Nicolae: Books - or: Nicolae Popescu.

Examples of Abelian categories. 1) The dual category of an Abelian category is also an Abelian category. 2) The category $ {} _ {R} \mathfrak M $ of all unitary left modules over an arbitrary associative ring $ R $ with a unit element and all $ R $- module homomorphisms is an Abelian category (e.g.

the. Cleft extensions of abelian categories were introduced by the author in an earlier paper [6] as a generalization of the same concept of rings (deÿnitions and examples are recalled in Section 2 Author: Apostolos Beligiannis.

This chapter discusses the trivial extensions of Abelian categories and applications to rings. All rings are assumed to be commutative noetherian local rings and all modules are unital and finitely generated. Ring Theory provides information pertinent to the fundamental aspects of ring theory.

This book covers a variety of topics. Abelian Categories. Download / View book. Similar Books. Categories and Homological Algebra.

This course note introduces the reader to the language of categories and to present the basic notions of homological algebra, first from an elementary point of view, with the notion of derived functors, next with a more sophisticated approach, with. There is a whole theory of localisation within the context of ring theory that uses Gabriel's notion of quotient category.

A starting point might be Popescu's book: Abelian categories with applications to rings and modules, if you can get hold of a copy. Reprints in Theory and Applications of Categories, No.

3, ABELIAN CATEGORIES PETER J. FREYD Foreword The early 60s was a great time in America for a young math-ematician. Washington had responded to Sputnik with a lot of money for science education and the scientists, bless them, said that they could not do anything until students knew File Size: 2MB.

From to he collaborated with Pierre Gabriel on the characterization of abelian categories; their best-known result is the Gabriel–Popescu theorem. His areas of expertise were category theory, abelian categories with applications to rings and modules, adjoint functors, limits and colimits, the theory of sheaves, the theory of Alma mater: University of Bucharest.Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy.

Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topologicalCited by: 8.These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory.

Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future : $