PBZ *-格：结构理论与子簇
PBZ*-Lattices: Structure Theory and Subvarieties
摘要：
本文研究了\emph{PBZ*-lattices}簇及其某些真子簇的结构理论。这些具有额外结构的格起源于量子力学的基础，可以被看作是正交模格和通过额外的一元运算扩展的Kleene代数的共同推广。我们奠定了PBZ*-格的理想和中心元素理论的基础，我们证明了一些结构定理，我们探索了一些与减法和二进制代数簇理论的联系。
英文摘要：
We investigate the structure theory of the variety of \emph{PBZ*-lattices} and some of its proper subvarieties. These lattices with additional structure originate in the foundations of quantum mechanics and can be viewed as a common generalisation of orthomodular lattices and Kleene algebras expanded by an extra unary operation. We lay down the basics of the theories of ideals and of central elements in PBZ*-lattices, we prove some structure theorems, and we explore some connections with the theories of subtractive and binary discriminator varieties.
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。
