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math.QA2011★ 1 cited
The center of the category of bimodules and descent data for non-commutative rings
A. L. Agore, S. Caenepeel, G. Militaru
Let be an algebra over a commutative ring . We compute the center of the category of -bimodules. There are six isomorphic descriptions: the center equals the weak center,…
math.QA2011★ 3 cited
Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings
A. L. Agore, S. Caenepeel, G. Militaru
Let be an algebra over a commutative ring . We prove that braidings on the category of -bimodules are in bijective correspondence to canonical R-matrices, these are eleme…
math.RA2011
Unified products and split extensions of Hopf algebras
A. L. Agore, G. Militaru
The unified product was defined in \cite{am3} related to the restricted extending structure problem for Hopf algebras: a Hopf algebra factorizes through a Hopf subalgebra a…