Locally unital quantum B-algebras
Shengwei Han, Zhigang Bao · Journal of Algebra and Its Applications · 2021
In this paper, we mainly consider three classes of quantum B-algebras such as locally unital quantum B-algebras, two-sided quantum B-algebras and implication-commutative quantum B-algebras. We first prove that a quantum B-algebra can be embedded into a unital quantum B-algebra if and only if it is a locally unital quantum B-algebra. Next, we introduce two-sided (implication-commutative) quantum B-algebras and give their characterization. Based on which we finally investigate the filters of quantum B-algebras.