Extensions of fuzzy hyperideals in HV-semigroups |
| |
| Authors: | B. Davvaz |
| |
| Affiliation: | (1) Department of Mathematics, Yazd University, Yazd, Iran |
| |
| Abstract: | The object of the present paper is the investigation and study of (fuzzy) hyperideals in H
v
- semigroups. Regular equivalence relations play in H
v
- semigroup theory a role analogous to congruences in semigroup theory, so we introduce fuzzy regular equivalence relations
on H
v
-semigroups and then we study fuzzy Rees regular relations on H
v
-semigroups. Using this ideas, we establish a relation between fuzzy hyperideal of an H
v
-semigroup H and fuzzy hyperideal of a quotient H
v
-semigroup of H. Some characterizations of them are then shown.
|
| |
| Keywords: | H
v
-semigroup Hyperideal Fuzzy set Regular relation Fundamental relation |
| 本文献已被 SpringerLink 等数据库收录！ |
