DERIVATION AND ACTOR OF CROSSED POLYMODULES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2018, v.25 no.3, pp.203-218

https://doi.org/10.7468/jksmeb.2018.25.3.203

Davvaz, Bijan (Department of Mathematics, Yazd University)
Alp, Murat (Department of Mathematics, American University of the Middle East)

Davvaz, Bijan, & Alp, Murat. (2018). DERIVATION AND ACTOR OF CROSSED POLYMODULES. 한국수학교육학회지시리즈B:순수및응용수학, 25(3), 203-218, https://doi.org/10.7468/jksmeb.2018.25.3.203

복사

Abstract

An old result of Whitehead says that the set of derivations of a group with values in a crossed G-module has a natural monoid structure. In this paper we introduce derivation of crossed polymodule and actor crossed polymodules by using Lue's and Norrie's constructions. We prove that the set of derivations of a crossed polygroup has a semihypergroup structure with identity. Then, we consider the polygroup of invertible and reversible elements of it and we obtain actor crossed polymodule.

keywords: action, crossed module, polygroup, crossed polymodule, derivation, fundamental relation

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논문 상세

Vol.25 No.3

DERIVATION AND ACTOR OF CROSSED POLYMODULES

DERIVATION AND ACTOR OF CROSSED POLYMODULES

Abstract

한국수학교육학회지시리즈B:순수및응용수학