大葉大學圖書館 |

Equivalence and duality for module categories :with tilting and cotilting for rings /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512/.4
書名/作者:	Equivalence and duality for module categories : : with tilting and cotilting for rings // Robert R. Colby, Kent R. Fuller.
其他題名:	Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings
作者:	Colby, Robert R.
其他作者:	Fuller, Kent R.,
面頁冊數:	1 online resource (ix, 152 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Rings (Algebra)
標題:	Modules (Algebra)
標題:	Duality theory (Mathematics)
ISBN:	9780511546518 (ebook)
內容註:	Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.
摘要、提要註:	This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.
電子資源:	http://dx.doi.org/10.1017/CBO9780511546518

Equivalence and duality for module categories :with tilting and cotilting for rings /
Colby, Robert R.1938-

Equivalence and duality for module categories :with tilting and cotilting for rings /Equivalence & Duality for Module Categories with Tilting & Cotilting for RingsRobert R. Colby, Kent R. Fuller. - 1 online resource (ix, 152 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;161. - Cambridge tracts in mathematics ;169..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.

ISBN: 9780511546518 (ebook)Subjects--Topical Terms:

486779
Rings (Algebra)

LC Class. No.: QA247 / .E66 2004

Dewey Class. No.: 512/.4

Equivalence and duality for module categories :with tilting and cotilting for rings /
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