Parabolic decomposition for properly stratified algebras
type: Item
instance of: scholarly article
title: Parabolic decomposition for properly stratified algebras
zbMATH Open document ID: 1022.17004
DOI: 10.1016/S0022-4049(01)00111-6
author: Volodymyr Mazorchuk
author: M. Klucznik
published in: Journal of Pure and Applied Algebra
publication date: 2002-08-22T00:00:00Z
review text: In the paper under review, the authors study generalizations of results of \textit{S. König} [Math. Z. 220, 399-426 (1995; Zbl 0841.16013)] on exact Borel subalgebras in quasihereditary algebras. Here, they use basically the same machinery for the a properly stratified algebras. Recall that an algebra \(A\) is properly stratified algebra provided there exists an order in a set of primitive idempotents \(e_1, \cdots, e_n\) such that for each \(l\), the idempotent \(e_l\) generates a projective \(A\)-bimodule ideal in the quotient algebra \(A/<e_{l+1}, \cdots,e_n>\).
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 16G30
Mathematics Subject Classification ID: 16G50
zbMATH DE Number: 1787438
zbMATH Keywords: properly stratified algebras
zbMATH Keywords: exact Borel subalgebras
zbMATH Keywords: quasihereditary algebras
reviewed by: Flávio U. Coelho
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787438