Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Quang Nguyen, Tien"'
Autor:
Quang, Nguyen Tien
Prolongations of a group extension can be studied in a more general situation that we call group extensions of the co-type of a crossed module. Cohomology classification of such extensions is obtained by applying the obstruction theory of monoidal fu
Externí odkaz:
http://arxiv.org/abs/1503.04379
Publikováno v:
International Journal of Group Theory Vol. 3, No. 1 (2014) 57-64
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 kernels of a homomorphisms between 2-dimensional cohomology groups of
Externí odkaz:
http://arxiv.org/abs/1309.3167
Publikováno v:
Albanian Journal of Mathematics Vol.7, No.1 (2013) 81-92
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 and regular symmetric monoidal functors. The theory of obstructions for
Externí odkaz:
http://arxiv.org/abs/1309.3109
If $\Gamma $ is a group, then braided $\Gamma $-crossed modules are classified by braided strict $\Gamma $-graded categorial groups. The Schreier theory obtained for $\Gamma $-module extensions of the type of an abelian $\Gamma $-crossed module is a
Externí odkaz:
http://arxiv.org/abs/1304.5909
Autor:
Quang, Nguyen Tien, Cuc, Pham Thi
In this paper we study equivariant crossed modules in its link with strict graded categorical groups. The resulting Schreier theory for equivariant group extensions of the type of an equivariant crossed module generalizes both the theory of group ext
Externí odkaz:
http://arxiv.org/abs/1302.4573
Publikováno v:
Iternational Journal of Group Theory, Vol. 1 No. 2 (2012) 39-49
The aim of this paper is to study the $(\alpha, \gamma)$-prolongation of central extensions. We obtain the obstruction theory for $(\alpha, \gamma)$-prolongations and classify $(\alpha, \gamma)$-prolongations thanks to low-dimensional cohomology grou
Externí odkaz:
http://arxiv.org/abs/1301.1404
Autor:
Quang, Nguyen Tien, Cuc, Pham Thi
Publikováno v:
Mathematical Communications 17 (2012) 575-598
In this paper we present some applications of Ann-category theory to classification of crossed bimodules over rings, classification of ring extensions of the type of a crossed bimodule.
Comment: 23 pages
Comment: 23 pages
Externí odkaz:
http://arxiv.org/abs/1301.0660
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 module.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1112.2440
Publikováno v:
East-West J. of Mathematics, Vol. 13 No2 (2011), 163-186
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 applications obtained from the basic studies on monoidal functors between categor
Externí odkaz:
http://arxiv.org/abs/1105.5186
Autor:
Quang, Nguyen Tien
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 the precise theorem on classification for the general case due to Mac
Externí odkaz:
http://arxiv.org/abs/1105.5187