Last edited by Dishakar
Sunday, August 16, 2020 | History

7 edition of Rings with Morita duality found in the catalog.

Rings with Morita duality

by Weimin Xue

  • 205 Want to read
  • 5 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Morita duality.,
  • Categories (Mathematics),
  • Modules (Algebra)

  • Edition Notes

    Includes bibliographical references (p. [160]-164) and index.

    StatementWeimin Xue.
    SeriesLecture notes in mathematics ;, 1523, Lecture notes in mathematics (Springer-Verlag) ;, 1523.
    Classifications
    LC ClassificationsQA3 .L28 no. 1523, QA251.5 .L28 no. 1523
    The Physical Object
    Paginationx, 167 p. ;
    Number of Pages167
    ID Numbers
    Open LibraryOL1720454M
    ISBN 103540557709, 0387557709
    LC Control Number92023682

      Lectures on Modules and Rings by T. Y. Lam, , available at Book Depository with free delivery :// This book provides the basic definitions and properties of Rings, modules and homomorphisms. It offers comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, and Morita equivalence and

      Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search. Quick Search anywhere. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search. Quick search in Citations. Journal Year Volume Issue Page. Search. Advanced Search. 9 My Cart. Sign in. Skip main :// Book Description "Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the s. Karping Shum and Yuqi Guo Primitive Rings, Infinite Matrix Rings, and Morita-like Equivalences, Karping Shum and Yonghua Xu On Maximal Subgroups of Finite Groups, Yamin Wang Recent

    This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than ://   CBBOOK-DVR CBColby Janu Char Count= 0 vi Contents Cotilting Bimodules 97 Cotilting via Tilting and Morita Duality Weak Morita Duality Finitistic Cotilting Modules and Bimodules U-torsionless Linear Compactness Examples and Questions A Adjoints and Category Equivalence


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Rings with Morita duality by Weimin Xue Download PDF EPUB FB2

The book sets out to give an extensive introduction to thisclass of rings, covering artinian rings, ring extensions, Azuma- ya's exact rings, and more. Among the interesting results presented are a characterization of duality via linear com- pactness, ring extensions with dualities, and exact :// Associative rings that possess Morita dualities or self- dualities form the object of this book.

They are assumed to have an identity and modules are assumed unitary. The book sets out to give an extensive introduction to thisclass of rings, covering artinian rings, ring extensions, Azuma- ya' › Mathematics › Algebra.

Get this from a library. Rings with Morita duality. [Weimin Xue] -- Associative rings that possess Morita dualities or self- dualities form the object of this book. They are assumed to have an identity and modules are assumed unitary. The book sets out to give an to Morita duality.- Morita duality and ring extensions.- Artinian rings with Morita duality (I).- Artinian rings (II) - Azumaya's exact rings.- Other types of rings with duality.

Series Title: Lecture notes in mathematics (Springer-Verlag), Responsibility: Weimin Xue. More information: Inhaltstext to Morita duality.- Morita duality and ring extensions.- Artinian rings with Morita Rings with Morita duality book (I).- Artinian rings (II) - Azumaya's exact rings.- Other types of rings with duality.

Series Title: Lecture notes in mathematics, Responsibility: Weimin Xue. More information: Inhaltsverzeichnis Associative Rings that possess Morita dualities or self- dualities form the object of this book.

They are assumed to have an identity and modules are assumed unitary. The book sets out to give an extensive introduction to thisclass of Rings, covering artinian Rings, ring extensions, Azuma- ya's exact Rings, and more., and Find helpful customer reviews and review ratings for Rings with Morita Duality (Lecture Notes in Mathematics) at Read honest and unbiased product reviews from our ://   Cite this chapter as: Xue W.

() Morita duality and ring extensions. In: Rings with Morita Duality. Lecture Notes in Mathematics, vol Morita, K.: Duality for modules and its applications to the theory of rings with minimum condition. Sci Rpts. Tokyo Kyoiku Daigaku 6, 83– ().

zbMATH Google Scholar   Study on rings with Morita duality Name Koike Kazutoshi E-mail [email protected] Status Professor Affiliations Japan Keywords Noncommutative rings, Morita duality, quasi-Frobenius rings Technical Support Skills ・ Theory of algebra (ring theory)   Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms.

The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect The e-book units out to provide an in depth creation to thisclass of earrings, protecting artinian jewelry, ring extensions, Azuma- ya's detailed earrings, and extra.

one of the attention-grabbing effects offered are a characterization of duality through linear com- pactness, ring extensions with dualities, and targeted earrings. a few simple   Sections 1 3 discuss quasiFrobenius and Frobenius rings, duality functors, and Morita duality.

Section 4 summarizes some key identi cations for Frobenius rings that are needed for coding theory. The reader interested primarily in the coding theoretic results may wish to begin with Section  › 百度文库 › 高校与高等教育.

Morita equivalence and duality (Queen Mary College mathematics notes) [Cohn, P. M] on *FREE* shipping on qualifying offers. Morita equivalence and duality (Queen Ring Theory provides information pertinent to the fundamental aspects of ring theory.

This book covers a variety of topics related to ring theory, including restricted semi-primary rings, finite free resolutions, generalized rational identities, quotient rings, idealizer rings, identities of Azumaya algebras, endomorphism rings, and some Morita, K., Duality for modules and its applications to the theory of rings with minimum condition, Sci.

Report Tokyo Kyoiku Daigaku 6 (), 83– zbMATH Google Scholar Müller, B. J., Download Citation | Morita duality and ring extensions | In this paper, we show that there exists a category equivalence between certain categories of A-rings (respectively, ring extensions of A ISBN: OCLC Number: Notes: L'accès complet au document est possible pour les usagers de tous les établissements publics français (situés ou non sur le territoire français) ayant des missions d'enseignement supérieur et/ou de recherche, des établissements d'enseignement supérieur privés, des bibliothèques :// JOURNAL OF ALGE () Duality over Noetherian Rings with a Monta Duaîity PHAM NGOC ÂNH Mathematical Institute, Hungarian Academy of Sciences, H Budapest, Redltanoda u.

Hungary Communicated by J. Dieudonne Received April 1, Recall that Morita duality is a contravariant category-equivalence between categories of right.R-modules and left 5-modules which Corollary 4.

A ring R is a right PF-ring if and only if we have an equality FGP.R = FCR. A bimodule ^Un defines a Morita duality if and only if ^ is a faithfully balanced bimodule and both ^U and UR are (finitely cogenerated) injective cogenerators. An introduction to Morita duality is presented in [1, Sections 23 and 24] and [6, Ch.

://. We are now ready to establish the first connection between QF-3" rings and Morita dualities (cf.

also [25]). Theorem Let R be a QF-3" maximal quotient ring. Then the R-dual functors induce a Morita duality in the sense of Anh-Wiegandt with reflexive generators between R-Mod/-,90 and Mod-RI'. ://Quasi-Frobenius Rings and Generalizations QF-3 and QF-1 Rings.

Authors Morita duality. Pages Tachikawa, Hiroyuki. Preview. Left QF-3 rings. Pages Tachikawa, Hiroyuki *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include  › Mathematics › Algebra.Journals & Books; Help; COVID campus closures: see options for getting or retaining Remote Access to subscribed content Vol Issue 2, SeptemberPages Duality