Computing 2-dimensional algebras: Crossed modules and Cat1-algebras

被引：10

作者：

Arvasi, Z. ^{[1
]}

Odabas, A. ^{[1
]}

机构：

[1] Osmangazi Univ, Dept Math & Comp Sci, Art & Sci Fac, Eskisehir, Turkey

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 10期

关键词：

GAP; group algebra; crossed module; cat(1)-algebra; COMMUTATIVE ALGEBRAS;

D O I：

10.1142/S0219498816501851

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe a package XModAlg for GAP4 which constructs crossed modules of k-algebras and cat(1)-algebras over k, and their morphisms. We include a table of cat(1)-algebras.

引用

页数：12

共 50 条

[1] Cat1-Hopf algebras and crossed modules
Fernandez Vilaboa, J. M.
Lopez Lopez, M. P.
Novoa, E. Villanueva
COMMUNICATIONS IN ALGEBRA, 2007, 35 (01) : 181 - 191
[2] HIGHER DIMENSIONAL CROSSED-MODULES OF ALGEBRAS
ELLIS, GJ
JOURNAL OF PURE AND APPLIED ALGEBRA, 1988, 52 (03) : 277 - 282
[3] Conservative algebras of 2-dimensional algebras
Kaygorodov, Ivan
Lopatin, Artem
Popov, Yury
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 486 : 255 - 274
[4] Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy
Martins, Joao Faria
JOURNAL OF GEOMETRY AND PHYSICS, 2016, 99 : 68 - 110
[5] Quadratic and 2-crossed modules of algebras
Arvasi, Z.
Ulualan, E.
ALGEBRA COLLOQUIUM, 2007, 14 (04) : 669 - 686
[6] Crossed modules of Lie algebras
Wang, Shengxiang
Zhou, Jianhua
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition), 2009, 39 (01): : 185 - 190
[7] Conservative algebras of 2-dimensional algebras, IV
Ouaridi, Amir Fernandez
Kaygorodov, Ivan
Gonzalez, Candido Martin
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (06)
[8] Conservative algebras of 2-dimensional algebras, II
Kaygorodov, Ivan
Volkov, Yury
COMMUNICATIONS IN ALGEBRA, 2017, 45 (08) : 3413 - 3421
[9] Crossed Modules for Lie 2-Algebras
Honglei Lang
Zhangju Liu
Applied Categorical Structures, 2016, 24 : 53 - 78
[10] Crossed Modules for Lie 2-Algebras
Lang, Honglei
Liu, Zhangju
APPLIED CATEGORICAL STRUCTURES, 2016, 24 (01) : 53 - 78

← 1 2 3 4 5 →