Affiliation:
1. School of Mathematics, Northwest University, Shaanxi, Xi’an, 710127, P. R. China
Abstract
Green’s ∗-relations on semirings satisfying additional identities [Formula: see text] and [Formula: see text] are studied. Equivalent characterizations of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are obtained and equivalent conditions are given for the above relations to be congruences. It is proved that semiring classes determined by these congruences are varieties.
Publisher
World Scientific Pub Co Pte Ltd