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Homomorphisms, separable extensions, and Morita maps for weak module algebras

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Abstract

By using a trace one element, we give a sufficient and necessary condition for a weak module algebra A to be a projective left A#H-module, where A#H denotes the weak smash product. We also give some differentiated conditions for the weak smash product to be a separable extension on the weak module algebra A and get the weak structure theorem in the category of weak (H,A)-Hopf modules.

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Authors and Affiliations

  1. Nanjing Agricultural University, Nanjing, China

    L. Zhang & Y. Li

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  1. L. Zhang
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  2. Y. Li
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Correspondence to L. Zhang.

Additional information

Original Russian Text Copyright © 2011 Zhang L. and Li Y.

The authors were supported by the National Natural Science Foundation of China (Grant 10871170), the Educational Ministry Science Technique Key Foundation of China (Grant 108154), and the College Special Research Doctoral Disciplines Point Fund of China (Grant 20100097110040).

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Nanjing. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 1, pp. 210–222, January–February, 2011.

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Zhang, L., Li, Y. Homomorphisms, separable extensions, and Morita maps for weak module algebras. Sib Math J 52, 167–177 (2011). https://doi.org/10.1134/S0037446606010186

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  • DOI: https://doi.org/10.1134/S0037446606010186

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