A construction of congruence-simple semirings

Abstract

> Congruence-simple semirings split into three basic classes. The first one contains all additively cancellative semirings.

The second one all additively nil semirings. The third one contains all aditively idempotent semirings.

And namely this last but not the least class is studied in the present note.

Keywords

• construction
• congruence-simple
• semirings