Freeness conditions for quasi 3-crossed modules and complexes of using simplicial algebras with C W−bases

MUTLU, ALİ; Mutlu, Berrin

doi:10.1186/2251-7456-7-35

Freeness conditions for quasi 3-crossed modules and complexes of using simplicial algebras with C W−bases

MUTLU A., Mutlu B.

Mathematical Sciences, vol.7, no.1, 2013 (Scopus)

Publication Type: Article / Article
Volume: 7 Issue: 1
Publication Date: 2013
Doi Number: 10.1186/2251-7456-7-35
Journal Name: Mathematical Sciences
Journal Indexes: Scopus
Keywords: Free crossed module, 2-crossed module, Quasi 3-crossed module and complex
Open Archive Collection: AVESIS Open Access Collection
Manisa Celal Bayar University Affiliated: Yes

Abstract

Using free simplicial algebras with given CW−basis, it is shown how to construct a free or totally free quasi 3-crossed module on suitable construction data. Quasi 3-crossed complexes are introduced and similar freeness results are given for these are discussed.