The direct product of right zero semigroups and certain groupoids

Abstract

This paper investigates first the structure of semigroups which are direct products of right zero semigroups and cancellative semigroups with identity. We consider the relationship of these semigroups to right groups (the direct products of groups and right zero semigroups). Finally, we consider groupoids which are direct products of right singular semigroups and unipotent (one-idempotent) groupoids with identity. Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 575-578