[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2018.25.3.203

DERIVATION AND ACTOR OF CROSSED POLYMODULES

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

Publication Information

The Pure and Applied Mathematics / v.25, no.3, 2018 , pp. 203-218 More about this Journal

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;

Citations & Related Records

Reference

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