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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2006 Issue 3, Pages 119–126 (Mi adm275)

RESEARCH ARTICLE

The generalized path algebras over standardly stratified algebras

Shugui Wang

Department of Mathematics, Huai Hua College, Huaihua 418008, Hunan China

Abstract: In this note, it is proved that the generalized path algebras over standardly stratified algebras are also standardly stratified, and the generalized path algebras over quasi-hereditary algebras are also quasi-hereditary. The $\Delta$-good module categories over these big quasi-hereditary algebras are determined in terms of those of the given algebras.

Keywords: the generalized path algebras; quasi-hereditary algebras.

MSC: 16E10, 16G20, 18G20

Received: 28.04.2005
Revised: 28.11.2006

Language: English



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