Czechoslovak Mathematical Journal, Vol. 68, No. 2, pp. 523-551, 2018
Stratified modules over an extension algebra
Erzsébet Lukács, András Magyar
Received October 18, 2016. First published October 25, 2017.
Abstract: 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.
Keywords: standardly stratified algebra; homological dual; standard Koszul algebra
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Affiliations: Erzsébet Lukács, András Magyar, Department of Algebra, Budapest University of Technology and Economics, P. O. Box 91, H-1521 Budapest, Hungary, e-mail: lukacs@math.bme.hu, mandras@math.bme.hu
