Quantum computational algebra with a non-commutative generalization
18 Citations•2016•
Wenjuan Chen, W. Dudek
Mathematica Slovaca
It is proved the interval of a non-commutative quasi l-group with a strong quasi-unit is a quasipseudo-MV algebra and the direct product decomposition of these algebras is investigated.
Abstract
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.