The generalized path algebras over standardly stratified algebras

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 ∆−good module categories over these big quasi-hereditary algebras are...

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Datum:2006
1. Verfasser: Wang, S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2006
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/157389
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The generalized path algebras over standardly stratified algebras / S. Wang // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 119–126. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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 ∆−good module categories over these big quasi-hereditary algebras are determined in terms of those of the given algebras.