Ring-like structures corresponding to pseudo MV-algebras
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.
pseudo mv-algebras non-commutative pseudorings strong pseudo de morgan algebras