N(2,2,0)代数的T-模糊子代数和T-模糊理想  

T-Fuzzy Subalgebra and T-Fuzzy Ideal of N(2,2,0) Algebra

作　　者：王丰效 WANG Feng-xiao(College of Mathematics and Statistics, Kashigar University, Kashi 844000, Chin)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《数学的实践与认识》2016年第20期229-232,共4页Mathematics in Practice and Theory

基　　金：广东省科技计划项目(2014A020209087);喀什大学高层次人才项目(GCC15ZK-007)

摘　　要：为了深入研究N(2,2,0)代数的代数结构,在N(2,2,0)代数中引入了T模糊子代数和T模糊理想的概念,进一步讨论了它们的性质.分别给出了N(2,2,0)代数的模糊子代数和模糊理想与子代数和理想的关系.证明了N(2,2,0)代数的两个T模糊子代数的模交也是T模糊子代数,而N(2,2,0)代数的两个T模糊理想的模交也是T模糊理想.In order to study the algebraic structure of N（2,2,0） algebras in a deep-going way,the concept of T-fuzzy subalgebras and T-fuzzy ideals are introduced in N（2,2,0）algebras.Some properties are discussed.The relation between the fuzzy subalgebra（ideal）and the subalgebra（ideal） of N（2,2,0） algebra is given.Finally,we prove that the norm intersection of two T-fuzzy subalgebras is also T-fuzzy subalgebra.The norm intersection of two T-fuzzy ideals is also T-fuzzy ideal.

关 键 词：N(2 2 0)代数 T模糊子代数 T模糊理想 模交 

分 类 号：O159[理学—数学]