数学杂志2012，Vol.32Issue(2)：191-205,15.
半群的(∈,∈∨q(λ,μ))-模糊k-理想
(∈, ∈ ∨q(λ,μ))-FUZZY k-IDEALS OF SEMIGROUPS
摘要
Abstract
This article studies generalized fuzzy k-ideals and (∈,∈ ∨q(λ,μ))-fuzzy k-ideals in semigroups.By using the axiom method,fuzzy cut sets and the properties of fuzzy sets,we obtain the equivalent characterization of (∈,∈ ∨q(λ,μ))-fuzzy k-ideals and the fundamental properties of generalized fuzzy characteristic and the direct product of generalized fuzzy k-ideals.Finally,we discuss the k-notherian semigroups and obtain that a semigroup S is left k-notherian iff Im(A) is a well-ordered subset of [λ,μ] for each generalized fuzzy left k-ideals A of S.关键词
广义模糊k-理想/(∈,∈∨q(λ,μ))-模糊k-理想/广义模糊特征化/模糊直和/k-诺特Key words
generalized fuzzy k-ideals/(∈, ∈ ∨q(λ,μ))-fuzzy k-ideals/generalized fuzzy characteristic/fuzzy direct product/k-notherian分类
数理科学引用本文复制引用
廖祖华,易丽华,胡淼菡..半群的(∈,∈∨q(λ,μ))-模糊k-理想[J].数学杂志,2012,32(2):191-205,15.基金项目
Supported by Program for Innovation Research Team of Jiangnan University(200902). （200902）
