Construction Of Certain Groupoids and Functors on Monoids

Volume 20 No 6 (2022)

V. K. Sreeja

DOI: 10.14704/nq.2022.20.6.NQ22416

Abstract

In this paper we have constructed certain groupoids associated with the collection of L-classes R-classes and H-classes of a monoid S. We have also studied about some functors associated with these groupoids. For the construction of the functors we need to find a category of cosets connected with the group G of units of the monoid S.

Keywords

morphism, groupoid, category, translation, functor, monoid

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