All Regular-Solid Varieties of Idempotent Semirings

Abstract

The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties of semirings. In this paper, we discuss the idempotent part.

Keywords

• semiring
• hypersubstitution
• regular hypersubstitution
• regular hyperidentity
• solid variety
• regular-solid variety
• 16y60
• 08b15
• 08c85