Commutative semigroups that are simple over their endomorphism semirings

Abstract

In the paper commutative semigroups simple over their endomorrphism semirings are investigated. In particular, commutative semigroups having just two fully invariant congruences are classified into five basic types and each of these types is characterized.

Keywords

• Commutative
• semigroups
• that
• are
• simple
• their
• endomorphism
• semirings