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  \(\Delta\)−good module categories over these big quasi-hereditary algebra...

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Datum:2018
1. Verfasser: Wang, Shugui
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Wang, Shugui
author_facet Wang, Shugui
author_sort Wang, Shugui
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datestamp_date 2018-03-21T07:07:28Z
description 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.
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spelling admjournalluguniveduua-article-9022018-03-21T07:07:28Z The generalized path algebras over standardly stratified algebras Wang, Shugui the generalized path algebras; quasi-hereditary algebras 16E10, 16G20, 18G20 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902 Algebra and Discrete Mathematics; Vol 5, No 3 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902/431 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
Wang, Shugui
The generalized path algebras over standardly stratified algebras
title The generalized path algebras over standardly stratified algebras
title_full The generalized path algebras over standardly stratified algebras
title_fullStr The generalized path algebras over standardly stratified algebras
title_full_unstemmed The generalized path algebras over standardly stratified algebras
title_short The generalized path algebras over standardly stratified algebras
title_sort generalized path algebras over standardly stratified algebras
topic the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
topic_facet the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902
work_keys_str_mv AT wangshugui thegeneralizedpathalgebrasoverstandardlystratifiedalgebras
AT wangshugui generalizedpathalgebrasoverstandardlystratifiedalgebras