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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 361–373
DOI: https://doi.org/10.4213/mzm10518 (Mi mzm10518) 		 
Extensions of the Endomorphism Algebra of Weak Comodule Algebras

Z. W. Wang, Y. Y. Chen, L. Yu. Zhang

Nanjing Agricultural University, China
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DOI: https://doi.org/10.4213/mzm10518
Abstract: Let $H$ be a weak Hopf algebra, and let $A/B$ be a weak right $H$-Galois extension. In this paper, we mainly discuss the extension of the endomorphism algebra of a module over $A$. A necessary and sufficient condition for such an extension of the endomorphism algebra to be weak $H$-Galois is obtained by using Hopf–Galois theory and Morita theory.
Keywords: weak $H$-Galois extension, weak Doi–Hopf module, endomorphism algebra, Morita context.
Received: 29.01.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 342–352
DOI: https://doi.org/10.1134/S0001434614090065
Bibliographic databases:
Document Type: Article
UDC: 512.544.42
Language: Russian
Citation: Z. W. Wang, Y. Y. Chen, L. Yu. Zhang, “Extensions of the Endomorphism Algebra of Weak Comodule Algebras”, Mat. Zametki, 96:3 (2014), 361–373; Math. Notes, 96:3 (2014), 342–352
Citation in format AMSBIB
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