Extensions of the Endomorphism Algebra of Weak Comodule Algebras
Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 361-373
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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
Mots-clés : Morita context.
Mots-clés : Morita context.
@article{MZM_2014_96_3_a5,
author = {Z. W. Wang and Y. Y. Chen and L. Yu. Zhang},
title = {Extensions of the {Endomorphism} {Algebra} of {Weak} {Comodule} {Algebras}},
journal = {Matemati\v{c}eskie zametki},
pages = {361--373},
publisher = {mathdoc},
volume = {96},
number = {3},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a5/}
}
TY - JOUR AU - Z. W. Wang AU - Y. Y. Chen AU - L. Yu. Zhang TI - Extensions of the Endomorphism Algebra of Weak Comodule Algebras JO - Matematičeskie zametki PY - 2014 SP - 361 EP - 373 VL - 96 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a5/ LA - ru ID - MZM_2014_96_3_a5 ER -
Z. W. Wang; Y. Y. Chen; L. Yu. Zhang. Extensions of the Endomorphism Algebra of Weak Comodule Algebras. Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 361-373. http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a5/