Coextensions of regular semigroups by rectangular bands. II
John C. Meakin, K. S. S. Nambooripad · Transactions of the American Mathematical Society · 1982
A construction of all coextensions of a regular semigroup S S by rectangular bands is obtained. The construction is analogous to Hall’s construction of orthodox semigroups as spined products of bands and inverse semigroups and reduces to that construction when S S is inverse. The results are specialized to provide a construction of the category of all normal coextensions of a regular semigroup.