Decomposition of Abundant Semigroups with Cancellative Monoid Transversals
LU Zhan-hua · Journal of Henan Normal University · 2012
A structure theorem of an abundant semigroup with a cancellative monoid transversal is introduced in this paper.A class of rectangular congruence on this semigroup is given,which proves that is a rectangular band of cancellative semigroups.As a special case,cancellative monoid transversal in a rectangular group and-class are discussed.