On k-ideals of semirings

Abstract

Certain types of ring congruences on an additive inverse semiring are characterized with the help of full k-ideals. It is also shown that the set of all full k-ideals of an additively inverse semiring in which addition is commutative forms a complete lattice which is also modular.

Keywords

• semiring
• inverse semiring
• k-ideals and ring congruence.