量子-Wajsberg代数的中心
Centers of quantum-Wajsberg algebras
AI总结：
本文定义并研究量子-Wajsberg代数的Wajsberg中心与OML中心，刻画其格、代数及簇结构性质。
摘要：
我们定义了量子-Wajsberg代数的Wajsberg中心和OML中心，并研究它们的结构。我们证明Wajsberg中心是量子-Wajsberg代数的Wajsberg子代数，并且是其对应偏序集的分配子格。若量子-Wajsberg代数是拟线性的，我们证明Wajsberg中心是线性序的Wajsberg代数。我们还证明Wajsberg中心的格子约化是Kleene代数。此外，我们证明OML中心是正交模格，且正交模格构成量子-Wajsberg代数簇的子簇。
英文摘要：
We define the Wajsberg-center and the OML-center of a quantum-Wajsberg algebra, and study their structures. We prove that the Wajsberg-center is a Wajsberg subalgebra of a quantum-Wajsberg algebra, and that it is a distributive sublattice of its corresponding poset. If the quantum-Wajsberg algebra is quasi-linear, we show that the Wajsberg-center is a linearly ordered Wajsberg algebra. We also show that the lattice subreduct of the Wajsberg-center is a Kleene algebra. Furthermore, we prove that the OML-center is an orthomodular lattice, and the orthomodular lattices form a subvariety of the variety of quantum-Wajsberg algebras.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
