International Journal of Mathematics, Game Theory and Algebra, Year (2007-6)

#### Title : ( Some functorial properties of nilpotent multipliers )

Authors: Behrooz Mashayekhy Fard , - - ,

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#### Abstract

In this paper, we are going to look at the $c$-nilpotent multiplier of a group $G$, ${\\\\\\\\\\\\\\\\cal N}_cM(G)$, as a functor from the category of all groups, ${\\\\\\\\\\\\\\\\cal G}roup$, to the category of all abelian groups, ${\\\\\\\\\\\\\\\\cal A}b$, and focusing on some functional properties of it. In fact, by using some results of the first author and others and finding an explicit formula for the $c$-nilpotent multiplier of a finitely generated abelian group, we try to concentrate on the commutativity of the above functor with the two famous functors Ext and Tor.

#### Keywords

, Schur multiplier, Nilpotent multiplier, Functor, Ext, Tor
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@article{paperid:1006604,
author = {Mashayekhy Fard, Behrooz and -, -},
title = {Some functorial properties of nilpotent multipliers},
journal = {International Journal of Mathematics, Game Theory and Algebra},
year = {2007},
month = {June},
issn = {1060-9881},
keywords = {Schur multiplier; Nilpotent multiplier; Functor; Ext; Tor},
}