[图书][B] Divisor theory in module categories

L Nachbin, WV Vasconcelos - 2011 - books.google.com
Divisors arise also in categories of modules generated by spherical modules - modules … In
the last chapter a divisor is defined in the category of modules of finite injective dimension but …

[图书][B] Algebra: rings, modules and categories I

C Faith - 2012 - books.google.com
… In Chapters 23 and 24, we study Morita's duality theory for a category mod-A of right A-modules.
Dual to the idea of equivalence is that of a duality CD between categories: namely, TS≈ …

A conception of zero-divisor graph for categories of modules

A Amini, B Amini, E Momtahan - Journal of Algebra and Its …, 2016 - World Scientific
… We introduce and study zero-divisor graphs in categories of left modules over a ring R, ie
R-MOD. The vertices of Γ(R-MOD) consist of all nonzero morphisms in R-MOD which are not …

[图书][B] Factor categories with applications to direct decomposition of modules

M Harada - 1983 - books.google.com
theory, as shown in torsion theory and localization. On the other hand, the application of
category theory … method in ring theory itself. To pursue this idea, we must define new concepts in …

Generalized divisors on Gorenstein schemes

R Hartshorne - K-theory, 1994 - access.portico.org
… We develop a theory of generalized divisors on a Gorenstein scheme … can be regarded as
an effective divisor. Most of the usual … an equivalence of categories from the category Refl(X) of …

[图书][B] An Introduction to Rings and Modules: with K-theory in view

AJ Berrick, ME Keating - 2000 - books.google.com
… and modules, and then we develop the structure theory for modules over various kinds of ring.
… The necessary category theory is dealt with in the companion volume [BK: CM], both in the …

[图书][B] Foundations of module and ring theory

R Wisbauer - 2018 - taylorfrancis.com
module theory and, for M = Ä, we obtain well-known results for the entire module category
over … (1) An idempotent e ER which is not a (right) unit is a right zero divisor: For some a E Rwe …

[图书][B] Rings and categories of modules

FW Anderson, KR Fuller - 1992 - books.google.com
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 …

Semidualizing modules and the divisor class group

S Sather-Wagstaff - Illinois Journal of Mathematics, 2007 - projecteuclid.org
… are module-theoretic in nature. However, we often employ tools from the derived category.
We … Section 2 along with basic facts about semidualizing modules and the divisor class group. …

[图书][B] Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence

L Positselski - 2011 - ams.org
… Koszul duality (or “triality”, as there are actually two module categories on the coalgebra
side) is studied in Section 6. Two versions of the duality theorem for (C)DG-modules, CDG-…