A non-commutative generalization of quasi-MV algebras

被引：0

作者：

Liu, Jianming ^{[1
]}

Chen, Wenjuan ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, 336 Nan Xinzhuang Rd, Jinan 250022, Shandong, Peoples R China

来源：

2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2016年

基金：

中国国家自然科学基金;

关键词：

pseudo-quasi-MV algebras; normal ideals; ideal congruences; pseudo-quasi-Wa[!text type='js']js[!/text]berg algebras; categorical equivalence;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce and investigate a noncommutative generalization of quasi-MV algebras, called pseudoquasi-MV algebras (pseudo-qMV algebras for short). And then we characterize the bijective relation between ideal congruences and normal ideals of a pseudo-qMV algebra. Finally, we prove that pseudo-qMV algebras are categorically equivalent to pseudoquasi-Wajsberg algebras which are the non-commutative generalization of quasi-Wajsberg algebras.

引用

页码：122 / 126

页数：5

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