Open AccessPartial group (co)actions of Hopf group coalgebras
Author(s) -
Quanguo Chen,
Dingguo Wang
Publication year - 2014
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1401131c
Subject(s) - mathematics , functor , group (periodic table) , coalgebra , separable space , hopf algebra , pure mathematics , algebra over a field , mathematical analysis , chemistry , organic chemistry
We will develop partial group (co)actions of a Hopf group coalgebra on a family of algebras by introducing partial group entwining structure. Then we give necessary and sufficient conditions for a family of functors from the category of partial group entwining modules to the category of modules over a suitable algebra to be separable. Also, the applications of our results are considered.
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