Selected Works of Maurice Auslander, 第 2 篇
American Mathematical Soc., 1999 - 743 頁
Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
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A-module artin algebras artin ring assume Auslander closed under extensions cocover Coker commutative diagram contravariantly finite Corollary cotilting module covariantly finite denote dimension duality epimorphism equivalence of categories exact sequence ExtA ExtA(C f is right F-exact finite in mod finite length finite number finite subcategory finitely presented following are equivalent full subcategory functorially finite Gorenstein Hence idempotent implies indecomposable modules indecomposable projective induced injective modules lattice left almost split Lemma Math MAURICE AUSLANDER minimal projective resolution minimal right modA modAop module in mod monomorphism morphism morphism f noethA noetherian ring nonmaximal prime ideals nonprojective nonzero number of nonisomorphic objects preinjective prime ideals projective cover projective module projective resolution Proposition reflexive modules Reiten Representation theory right almost split right minimal right X-determined simple functor split morphisms split sequences subcategory of mod subfunctor submodule Suppose surjective Theorem Vr(A zero