论文标题
量子B-代数
Quantum B-algebras with involutions
论文作者
论文摘要
本文的目的是定义和研究涉及和弱参与的量子B-代数。我们证明，任何弱涉及的量子B- algebra都是具有伪产物的量子B-代数。 As an application, we introduce and investigate the notions of existential and universal quantifiers on involutive quantum B-algebras.事实证明，在弱涉及量子B-代数上的量词之间存在一对一的对应关系。 One of the main results consists of proving that any pair of quantifiers is a monadic operator on weakly involutive quantum B-algebras.我们研究了有界SUP交换性伪bck-algebras上的量化器与其他相关代数结构（例如伪MV-Elgebras和有界的Wajsberg箍）上的量词之间的关系。
The aim of this paper is to define and study the involutive and weakly involutive quantum B-algebras. We prove that any weakly involutive quantum B-algebra is a quantum B-algebra with pseudo-product. As an application, we introduce and investigate the notions of existential and universal quantifiers on involutive quantum B-algebras. It is proved that there is a one-to-one correspondence between the quantifiers on weakly involutive quantum B-algebras. One of the main results consists of proving that any pair of quantifiers is a monadic operator on weakly involutive quantum B-algebras. We investigate the relationship between quantifiers on bounded sup-commutative pseudo BCK-algebras and quantifiers on other related algebraic structures, such as pseudo MV-algebras and bounded Wajsberg hoops.
