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.
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Davvaz, B. Extensions of fuzzy hyperideals in H V -semigroups. Soft Comput 11, 829–837 (2007). https://doi.org/10.1007/s00500-006-0133-z
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DOI: https://doi.org/10.1007/s00500-006-0133-z