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.
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页码：122 / 126
页数：5
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