PURE SEMISIMPLE FINITELY ACCESSIBLE CATEGORIES AND HERZOG'S CRITERION

Author:

CÁRCELES A. I.1,GARCÍA J. L.1

Affiliation:

1. Department of Mathematics, University of Murcia, 30071 Murcia, Spain

Abstract

Let [Formula: see text] be a finitely accessible category with products, and assume that its symmetric category [Formula: see text] is also finitely accessible and pure semisimple. We study necessary and sufficient conditions in both categories for [Formula: see text] (and hence [Formula: see text]) to be of locally finite representation type. In particular, we obtain a generalization of Herzog's criterion for finite representation type of left pure semisimple and right artinian rings. As an application, we prove that a left pure semisimple ring R with enough idempotents which has a self-duality is of locally finite representation type if and only if it is left locally finite.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Indecomposable modules over pure semisimple hereditary rings;Journal of Algebra;2012-12

2. DEFINABLE SUBCATEGORIES OVER PURE SEMISIMPLE RINGS;Journal of Algebra and Its Applications;2012-09-26

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