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Turkish Journal of Mathematics

Abstract

In this present work, we present the concept of a crossed module over generalized groupsand we call it a "generalized crossed module". We also define a generalizedgroup-groupoid. Furthermore, we show that the category of generalized crossedmodules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.

DOI

10.3906/mat-1602-63

Keywords

Groupoid, crossed module, generalized group

First Page

1535

Last Page

1551

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