A non-commutative generalization of quasi-MV algebras

作者：Liu Jianming; Chen Wenjuan^*

来源：IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016-07-24 to 2016-07-29.

• pseudo-quasi-MV algebras
• normal ideals
• ideal congruences
• pseudo-quasi-Wajsberg algebras
• categorical equivalence

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.

• 出版日期2016
• 单位济南大学