Cubical simplicial algebras and related crossed structures

被引：0

作者：

Alansal, Ozgun Gurmen ^{[1
]}

机构：

[1] Kutahya Dumlupinar Univ, Sci & Art Fac, Dept Math, Kutahya, Turkiye

来源：

FILOMAT | 2024年 / 38卷 / 09期

关键词：

Bisimplicial algebras; crossed modules; Moore complex; MODULES;

D O I：

10.2298/FIL2409121G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of Peiffer pairings in the Moore n-complex of an n-dimensional simplicial commutative algebras and, using these pairings operators demonsrate the connection between n-dimensional simplicial commutative algebras and crossed n-cubes. In the content of dimension 3, we provide explicit calculations using Peiffer pairings to establish the close relationship between cubical simplicial algebras, crossed cubes and 3-crossed modules on commutative algebras.

引用

页码：3121 / 3135

页数：15

共 16 条

[1] Peiffer pairings in multisimplicial groups and crossed n-cubes and applications for bisimplicial groups [J].

Alansal, Ozgun Gurmen ;

ULUALAN, Erdal .

TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (01) :360-+

[2] Freeness conditions for 2-crossed modules of commutative algebras [J].

Arvasi, Z .

APPLIED CATEGORICAL STRUCTURES, 1998, 6 (04) :455-471

[3] THREE-CROSSED MODULES [J].

Arvasi, Z. ;

Kuzpinari, T. S. ;

Uslu, E. Oe. .

HOMOLOGY HOMOTOPY AND APPLICATIONS, 2009, 11 (02) :161-187

[4]

Arvasi Z., 1997, Theory Appl. Categories, V3, P160

[5]

Arvasi Z., 1997, Theory Appl. Categories, V3, P1

[6] VANKAMPEN THEOREMS FOR DIAGRAMS OF SPACES [J].

BROWN, R ;

LODAY, JL .

TOPOLOGY, 1987, 26 (03) :311-335

[7] GENERALIZED CROSSED LENGTH-2 MODULES [J].

CONDUCHE, D .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1984, 34 (2-3) :155-178

[8]

Conduche D., 2003, Georgian Mathematical Journal, V10, P623

[9] HIGHER DIMENSIONAL CROSSED-MODULES OF ALGEBRAS [J].

ELLIS, GJ .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1988, 52 (03) :277-282

[10]

Guin-Walery D., 1981, Lecture Notes in Math., V854, P179

← 1 2 →