BZ-代数的理想及其同态定理

叶瑞芬, 张小红. BZ-代数的理想及其同态定理[J]. 华东理工大学学报（自然科学版）, 1993, (6).

引用本文:

叶瑞芬, 张小红. BZ-代数的理想及其同态定理[J]. 华东理工大学学报（自然科学版）, 1993, (6).

Ideals and Homomorphism Theorems of BZ-Algebras[J]. Journal of East China University of Science and Technology, 1993, (6).

Citation:

Ideals and Homomorphism Theorems of BZ-Algebras[J]. Journal of East China University of Science and Technology, 1993, (6).

Ideals and Homomorphism Theorems of BZ-Algebras

摘要: 引入BZ-代数的理想概念,并证明了BZ-代数的同态基本定理。利用BZ-代数的BZ1-部分,证明了此BZ1-部分是子代数又是理想,且其商代数是群逆BZ-代数。最后给出BZ-代数的群逆理想的概念,借此给出BZ-代数成为群逆BZ-代数和商代数成为群逆BZ-代数的充要条件。

Abstract: The ideal and the anti-grouped ideal of BZ-algebra were introduced and the homomorphism theorem of BZ-algebras was proved. Furthermore some necessary and suffi cient conditions that a BZ-algebra is anti-grouped BZ-algebra and a ideal of BZ-algebra is anti-grouped ideal were gived.

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