ON QUASI-RECTANGULAR BANDS

Abstract

In this paper we present a new definition of quasi-semigroups and quasi-rectangular bands, principal result  are that every quasi-rectangular band  is isomorphic to the  direct  product of a quasi-left zero semigroup and  quasi-right zero semigroup  [theorem  3.5]. Mathematical Society Classification: 2010 MSC. 18340.

Key   words   and   phrases.  Quasi-product, quasi-semigroup,   quasi-rectangular   band, quasi-left zero semigroup.