摘要
引入BCC-代数的一种新的模糊理想,并研究了它的性质,讨论了BCC-代数中模糊BCC-子代数、模糊BCK-子代数、模糊BCC-理想、模糊BCK-理想四者间的关系,给出了BCC-代数的模糊BCC-理想与BCC-代数的积代数的模糊BCC-理想二者间的关系,揭示了BCC-代数的模糊BCC-理想与同余之间的联系,讨论了由模糊BBC-理想诱导的商BCC-代数.最后,研究了模糊BCC-理想与模糊BCK-子代数的同态象和同态逆象,建立了模糊同态基本定理.
A new fuzzy ideal in BCC-algebras is introduced and its properties are investigated,the relations among fuzzy BCK-subalgebra,fuzzy BCC-subalgebra,fuzzy BCK-ideal and fuzzy BCC-ideal in BCC-algebras are discussed,the relations between a fuzzy BCC-ideal in BCC-algebras and a fuzzy BCC-ideal in the product algebra of BCC-algebras are given.The connections between congruences and fuzzy BCC-ideals are revealed,quotient BCC-algebras induced by fuzzy BCC-ideal are discussed.Finally,how to deal with the homomorphic images and inverse images of fuzzy BCC-ideals and fuzzy BCC-subalgebras are investigated,and the fuzzy homomorphism fundamental theorem is established.
出处
《内江师范学院学报》
2010年第10期5-11,共7页
Journal of Neijiang Normal University
基金
四川省教育厅重点实验室专项(2006ZD050)
四川省科技厅重点科技项目(2006J13-035)
