In this paper, ΓΏrst, we prove that the set of all fuzzy congruences on a regular semigroup contained in H forms a modular lattice, where H is the characteristic function of H and H is the H -equivalent relation on the semigroup. Secondly, we introduce idempotent separating fuzzy congruence on a semi
On fuzzy congruence of a near-ring module
β Scribed by T.K. Dutta; B.K. Biswas
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 86 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
The aim of this paper is to introduce fuzzy submodule and fuzzy congruence of an R-module (Near-ring module), to obtain the correspondence between fuzzy congruences and fuzzy submodules of an R-module, to deΓΏne quotient R-module of an R-module over a fuzzy submodule and to obtain correspondence between fuzzy congruences of an R-module and fuzzy congruences of quotient R-module over a fuzzy submodule of an R-module.
π SIMILAR VOLUMES
The definition of a fuzzy reflexive relation )~ on a set S is generalized by demanding that )4x, y) <<. )~(z, z) > 0 for all x Β’ y, z ~ S. Fuzzy equivalence relations on a given set and fuzzy congruences on a given groupoid are studied under this generalized setting.
In this paper, we introduce the concepts of the fuzzy complete inner-unitary subsemigroups and the fuzzy group congruences on a semigroup. Some of their properties are investigated. Also, we show that there is a one to one correspondence between the fuzzy complete inner-unitary subsemigroups and the