N(2,2,0)代数的(∈,∈∨q_(λ,μ))-模糊结合理想

(∈,∈∨q_(λ,μ))- fuzzy associative ideal of N(2,2,0) algebra

引入N(2,2,0)代数结合理想的概念。利用(∈,∈∨q(λ,μ))-模糊代数,给出了N(2,2,0)代数广义(λ,μ)-模糊结合理想和点态化模糊结合理想的概念,讨论了两者之间的等价关系;给出了(∈,∈∨q(λ,μ))-模糊结合理想的一些等价刻画,研究了其相关性质;讨论了(∈,∈∨q(λ,μ))-模糊结合理想的同态像与同态原像的关系;还研究了(∈,∈∨q(λ,μ))-模糊结合理想的直积。

The concept of associative ideal of the N （2,2,0） algebra is introduced;with the help of （∈,∈∨q（λ,μ））-fuzzy algebra, the notions of generalized （λ,μ）-fuzzy associative ideal and pointwise fuzzy associative ideal are proposed, and the relationship between them is also discussed;besides, this paper presents some equivalent descriptions of the （∈,∈∨q（λ,μ））-fuzzy associative ideal, and discusses the related properties;some basic properties of homomorphic image and homomor-phic preimage of the （∈,∈∨q（λ,μ））-fuzzy associative ideal are discussed. Direct product of the （∈,∈∨q（λ,μ））-fuzzy asso-ciative ideal is also studied.