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Left regular and intra-regular ordered semigroups in terms of fuzzy subsets
Authors: N. Kehayopulu, M. Tsingelis
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Abstract
In this paper we extend some results concerning ideals of left regular and intra-regular ordered semigroups to fuzzy ordered semigroups. A theory of fuzzy sets on ordered groupoids and ordered semigroups can be developed. Some results on ordered groupoids- semigroups have been already given by the same authors. The aim of writing this paper is to show the way we pass from the theory of ordered semigroups based on ideals or from the theory of poe-semigroups (i.e. ordered semigroups having a greatest element ”e”) based on ideal elements to the theory of ordered semigroups based on fuzzy ideals. Then we also have the way we pass from the theory of semigroups based on ideals to the theory of semigroups based on fuzzy ideals.N. Kehayopulu,
M. Tsingelis
University of Athens,
Department of Mathematics,
157 84 Panepistimiopolis,
Greece.
E-mail:
M. Tsingelis
University of Athens,
Department of Mathematics,
157 84 Panepistimiopolis,
Greece.
E-mail:
Fulltext
– 0.21 Mb
Contents
- Anti fuzzy Lie ideals of Lie algebras
- Actions of a subgroup of the modular group on an imaginary quadratic field
- On primal ideals over semigroups
- Finite hexagonal quasigroups
- On n-ary semigroups with adjoint neutral element
- Left regular and intra-regular ordered semigroups in terms of fuzzy subsets
- On the prime graph of L2(q), where q=p^alpha<100
- The application of DES, IDEA and AES in strong encryption
- A graphical technique to obtain homomorphic images of Delta(2,3,11)
- Ideals in AG-band and AG*-groupoid
- Skew endomorphisms on n-ary groups
