| Title:
|
Stratified modules over an extension algebra (English) |
| Author:
|
Lukács, Erzsébet |
| Author:
|
Magyar, András |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
523-551 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $A$ be a standard Koszul standardly stratified algebra and $X$ an $A$-module. The paper investigates conditions which imply that the module ${\rm Ext}_A^*(X)$ over the Yoneda extension algebra $A^*$ is filtered by standard modules. In particular, we prove that the Yoneda extension algebra of $A$ is also standardly stratified. This is a generalization of similar results on quasi-hereditary and on graded standardly stratified algebras. (English) |
| Keyword:
|
standardly stratified algebra |
| Keyword:
|
homological dual |
| Keyword:
|
standard Koszul algebra |
| MSC:
|
16E05 |
| MSC:
|
16E30 |
| MSC:
|
16S37 |
| idZBL:
|
Zbl 06890388 |
| idMR:
|
MR3819189 |
| DOI:
|
10.21136/CMJ.2017.0546-16 |
| . |
| Date available:
|
2018-06-11T10:57:19Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147234 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[9] Green, E. L., Martínez-Villa, R.: Koszul and Yoneda algebras.Representation Theory of Algebras R. Bautista Seventh international Conf., Mexico, 1994, American Mathematical Society. CMS Conf. Proc. 18 (1996), 247-297. Zbl 0860.16009, MR 1388055 |
| Reference:
|
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| . |
