Serrano, María Luisa
Mathematical Institute of the Serbian Academy of Sciences and Arts
|Title:||Omega-rings||Journal:||Fuzzy Sets and Systems||Issue Date:||2022||Rank:||~M21a||ISSN:||0165-0114||DOI:||10.1016/j.fss.2022.04.012||Abstract:||
Omega rings (Ω-rings) and some special types of these structures (commutative, without zero divisors, Ω-fields,...) are introduced and investigated. Ω is a complete lattice and Ω-rings are lattice-valued algebraic structures, defined on crisp algebras of the same type as rings, but which are not necessarily rings. The classical equality is replaced by a lattice-valued one. We give some basic properties of Ω-rings and related structures.
|Keywords:||A complete lattice | Fuzzy algebra | Fuzzy congruence | Fuzzy equality | Fuzzy identity | Omega ring||Publisher:||Elsevier|
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