Geodesic
Stratified modules over an extension algebra
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 523-551 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2017.0546-16
Classification : 16E05, 16E30, 16S37
Keywords: standardly stratified algebra; homological dual; standard Koszul algebra 
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     title = {Stratified modules over an extension algebra},
     journal = {Czechoslovak Mathematical Journal},
     pages = {523--551},
     year = {2018},
     volume = {68},
     number = {2},
     doi = {10.21136/CMJ.2017.0546-16},
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     language = {en},
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Lukács, Erzsébet; Magyar, András. Stratified modules over an extension algebra. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 523-551. doi: 10.21136/CMJ.2017.0546-16

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