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Quasi-Frobenius rings /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quasi-Frobenius rings // W.K. Nicholson, M.F. Yousif.
作者:	Nicholson, W. Keith,
其他作者:	Yousif, M. F.
面頁冊數:	1 online resource (xvii, 307 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Quasi-Frobenius rings. -
電子資源:	https://doi.org/10.1017/CBO9780511546525
ISBN:	9780511546525 (ebook)

Quasi-Frobenius rings /
Nicholson, W. Keith,

Quasi-Frobenius rings /W.K. Nicholson, M.F. Yousif. - 1 online resource (xvii, 307 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;158. - Cambridge tracts in mathematics ;203..

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

Background -- Mininjective rings -- Semiperfect mininjective rings -- Min-CS rings -- Principally injective and FP rings -- Simple injective and dual rings -- FGF rings -- Johns rings -- A generic example -- Morita equivalence -- Perfect, semiperfect, and semiregular rings -- The Camps-Dicks theorem.

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom functor and the duality related to annihilators. The present extent of the theory is vast, and this book makes no attempt to be encyclopedic; instead it provides an elementary, self-contained account of the basic facts about these rings at a level allowing researchers and graduate students to gain entry to the field.

ISBN: 9780511546525 (ebook)Subjects--Topical Terms:

684463
Quasi-Frobenius rings.

LC Class. No.: QA251.5 / .N53 2003

Dewey Class. No.: 512/.4

Quasi-Frobenius rings /
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520 $a A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom functor and the duality related to annihilators. The present extent of the theory is vast, and this book makes no attempt to be encyclopedic; instead it provides an elementary, self-contained account of the basic facts about these rings at a level allowing researchers and graduate students to gain entry to the field.
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