The generalized path algebras over standardly stratified algebras

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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Date:2018
Main Author: Wang, Shugui
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-902
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-03-21T07:07:28Z
collection OJS
language English
topic the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
spellingShingle the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
Wang, Shugui
The generalized path algebras over standardly stratified algebras
topic_facet the generalized path algebras
quasi-hereditary algebras
16E10
16G20
18G20
format Article
author Wang, Shugui
author_facet Wang, Shugui
author_sort Wang, Shugui
title The generalized path algebras over standardly stratified algebras
title_short 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_sort generalized path algebras over standardly stratified algebras
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/902
work_keys_str_mv AT wangshugui thegeneralizedpathalgebrasoverstandardlystratifiedalgebras
AT wangshugui generalizedpathalgebrasoverstandardlystratifiedalgebras
first_indexed 2025-07-17T10:34:01Z
last_indexed 2025-07-17T10:34:01Z
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