8 citations · 31 across the 14 of their papers we have counts for
14 papers
Co-prolongations of a group extension
Nguyen Tien Quang, Doan Trong Tuyen, Nguyen Thi Thu Thuy
The aim of this paper is to study co-prolongations of central extensions. We construct the obstruction theory for co-prolongations and classify the equivalence classes of these by…
Abelian crossed modules and strict Picard categories
Nguyen Tien Quang, Che Thi Kim Phung, Ngo Sy Tung
In this paper, we state the notion of morphisms in the category of abelian crossed modules and prove that this category is equivalent to the category of strict Picard categories an…
Strict Gr-categories and applications on classification of extensions of groups of the type of a crossed module
Nguyen Tien Quang, Pham Thi Cuc, Nguyen Thu Thuy
In this paper we state some applications of Gr-category theory on the classification of crossed modules and on the classification of extensions of groups of the type of a crossed m…
On monoidal functors between (braided) Gr-categories
Nguyen Tien Quang, Nguyen Thu Thuy, Pham Thi Cuc
In this paper, we state and prove precise theorems on the classification of the category of (braided) categorical groups and their (braided) monoidal functors, and some application…
Cohomological Classification of Ann-categories
Nguyen Tien Quang
The notion of Ann-categories is a categorification of the ring structure. Regular Ann-categories were classified by Shukla algebraic cohomology. In this article, we state and prove…
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…
The factor set of Gr-categories of the type
Nguyen Tien Quang
Any -graded categorical group is determined by a factor set of a categorical group. This paper studies the factor set of the group with coefficients in the categorical group…
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…
The Relation between Ann-Categories and Ring Categories
Nguyen Tien Quang, Nguyen Thu Thuy, Che Thi Kim Phung
There are different categorizations of the definition of a {\it ring} such as {\it Ann-category} (see N. T. Quang [6]), {\it ring category} (see M. Kapranov and V.Voevodsky [2]),..…
Structure of Ann-categories
Nguyen Tien Quang
Each Ann-category $\A$ is equivalent to an Ann-category of the type where is an -bimodule. The family of constraints of induces a {\it structure} on Th…
Structure of Ann-Categories
Nguyen Tien Quang
This paper presents the structure conversion by which from an Ann-category $\A,$ we can obtain its reduced Ann-category of the type whose structure is a family of five func…
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…
On monoidal equivalences and Ann-equivalences
Nguyen Tien Quang, Pham Le Hong Anh
In this paper, we show another proof of the problem by constructing a strict monoidal category M(C) consisting of M-functors and M-morphisms of a category C and we prove C is equiv…