Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring

Abstract

We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties. As a consequence, three isomorphism theorems on multiplicative ternary hyperrings are obtained.

Keywords

• binary relation
• equivalence relation
• regular and strongly regular equivalence relation
• ternary hyperrings