4 papers
Duals of Ann-categories
Nguyen Tien Quang, Dang Dinh Hanh
Dual monoidal category of a monoidal functor has been constructed by S. Majid. In this paper, we extend the construction of dual stru…
On the braiding of an Ann-category
Nguyen Tien Quang, Dang Dinh hanh
A braided Ann-category $\A$ is an Ann-category $\A$ together with the braiding such that $(\A, \otimes, a, c, (I,l,r))$ is a braided tensor category, and is compatible with…
Cohomological classification of Ann-functors
Nguyen Tien Quang, Dang Dinh Hanh
Regular Ann-functor classification problem has been solved with Shukla cohomology. In this paper, we would like to present a solution to the above problem in the general case and i…
On the Axiomatics of Ann-Categories
Nguyen Tien Quang, D. D. Hanh, N. T. Thuy
In this paper, we have studied the axiomatics of {\it Ann-categories} and {\it categorical rings.} These are the categories with distributivity constraints whose axiomatics are sim…