A characterization of skew-ring congruences on a class of semirings
Junqing Feng · Basic Sciences Journal of Textile Universities · 2008
A characterization of skew-ring congruences on a class of semirings whose additive reduct is regular semigroup in terms of full,self-conjugate and closed ideals is given.Similary to ring theory,whose ideals and congruences are one to one,a one to one mapping of the set of the skew-ring congruence to the set of the all full,self-conjugate closed ideals is given.Additionly,the skew-ring congruence classes are described in the end.