Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras  被引量:4

Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras

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作  者:PENG Jia-yin Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang 641112,China Dept.of Math.,Neijiang Teachers College,Neijiang 641112,China. 

出  处:《Applied Mathematics(A Journal of Chinese Universities)》2008年第1期101-106,共6页高校应用数学学报(英文版)(B辑)

基  金:Supported by the special item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050)

摘  要:The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced, several appropriate examples are provided, and their some properties are investigated. The relations among fuzzy ideal, fuzzy H-ideal, fuzzy dot ideal and fuzzy dot H-ideals in BCH- algebras are discussed, several equivalent depictions of fuzzy dot ideal are obtained. How to deal with the homomorphic image and inverse image of fuzzy dot ideals (fuzzy dot H-ideals) are studied. The relations between a fuzzy dot ideal (fuzzy dot H-ideal) in BCH-algebras and a fuzzy dot ideal (fuzzy dot H-ideal) in the product algebra of BCH-algebras are given.The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced, several appropriate examples are provided, and their some properties are investigated. The relations among fuzzy ideal, fuzzy H-ideal, fuzzy dot ideal and fuzzy dot H-ideals in BCH- algebras are discussed, several equivalent depictions of fuzzy dot ideal are obtained. How to deal with the homomorphic image and inverse image of fuzzy dot ideals (fuzzy dot H-ideals) are studied. The relations between a fuzzy dot ideal (fuzzy dot H-ideal) in BCH-algebras and a fuzzy dot ideal (fuzzy dot H-ideal) in the product algebra of BCH-algebras are given.

关 键 词:BCH-ALGEBRA fuzzy (dot) ideal fuzzy (dot) H-ideal homomorphism. 

分 类 号:O159[理学—数学]

 

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