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BCC-代数的不分明化理想
引用本文:彭家寅.BCC-代数的不分明化理想[J].内江师范学院学报,2009,24(6):5-10.
作者姓名:彭家寅
作者单位:四川省高等学校数值仿真重点实验室//内江师范学院数学与信息科学学院,四川,内江,641112
基金项目:四川省教育厅重点实验室专项基金 
摘    要:通过一元谓词和采用格值逻辑语义方法推广了不分明化BCC-代数,引入了BCC-代数的不分明化BCH-子代数、不分明化BCK-理想和不分明化BCC-理想的概念,讨论了它们的性质和它们间的关系.研究了BCC-代数的不分明化BCH-子代数(不分明化BCK-理想、不分明化BCC-理想)的同态象和同态原象,讨论了BCC-代数的不分明化BCH-子代数(不分明化BCK-理想、不分明化BCC-理想)的积代数的性质.

关 键 词:BCC-代数  不分明化子代数  不分明化BCK-理想  不分明化BCC-理想

On Fuzzifying Ideals in BCC-algebras
PENG Jia-yin.On Fuzzifying Ideals in BCC-algebras[J].Journal of Neijiang Teachers College,2009,24(6):5-10.
Authors:PENG Jia-yin
Institution:Key Laboratory of Numerical Simulation of Sichuan Province//School of Mathematics and Information Science;Neijiang Normal University;Neijiang;Sichuan 641112;China
Abstract:The fuzzifying BCC-algebra is extended by a unary predicate and by adopting the semantic method of lattice valued logic,and the concepts of fuzzifying subalgebras,fuzzifying BCK-ideals and fuzzifying BCC-ideals in BCC-algebras are defined,and their properties and relations among them are discussed.How to deal with the homomorphic images and inverse images of fuzzifying subalgebras,fuzzifying BCK-ideals and fuzzifying BCC-ideals are studied.Some properties of the product of two fuzzifying subalgebras(fuzzify...
Keywords:BCC-algebra  fuzzifying subalgebra  fuzzifying BCK-ideal  fuzzifying BCC-ideal
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