Quantum computational algebra with a non-commutative generalization
Wenjuan Chen, Wiesław A. Dudek · Mathematica Slovaca · 2016
Abstract We introduce a non-commutative generalization of quasi-MV algebra, called quasipseudo-MV algebra. We present some properties of quasi-pseudo-MV algebras and investigate the direct product decomposition of them. Further, we generalize quasi l-group to the non-commutative case and prove the interval of a non-commutative quasi l-group with a strong quasi-unit is a quasipseudo-MV algebra.