Ring-like structures corresponding to pseudo MV-algebras

被引:0
作者
Yun Shang
机构
[1] AMSS,Institute of Mathematics
来源
Soft Computing | 2009年 / 13卷
关键词
Non-commutative pseudorings; Strong pseudo De Morgan algebras; Pseudo MV-algebras;
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摘要
The natural bijective correspondence between MV-algebras and pseudorings is generalized to the case of pseudo MV-algebras. We first introduce the concepts of non-commutative pseudorings and strong pseudo De Morgan algebras. Then, we show that they both correspond to pseudo MV-algebras via symmetric difference in a natural bijective way.
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