Czechoslovak Mathematical Journal, online first, 29 pp.

Stratified modules over an extension algebra

Erzsébet Lukács, András Magyar

Received October 18, 2016.   First published October 25, 2017.

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

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

Classification (MSC 2010): 16E30, 16E05, 16S37

DOI: 10.21136/CMJ.2017.0546-16

Full text available as PDF.


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