布尔命题代数的半环性质
The Semiring Properties of Boolean Propositional Algebras
摘要：
本文阐述了布尔命题代数与半环的关系，给出了布尔命题代数上的偏序的一些结果，以及布尔命题子代数等价于相应的布尔命题代数的必要条件。证明了布尔命题代数上同态函数的象具有布尔命题代数与其子代数的关系。给出了保序同态函数的充要条件，同时也是布尔命题代数的一个推广。
英文摘要：
This paper illustrates the relationship between boolean propositional algebra and semirings, presenting some results of partial ordering on boolean propositional algebras, and the necessary conditions to represent a boolean propositional subalgebra as equivalent to a corresponding boolean propositional algebra. It is also shown that the images of a homomorphic function on a boolean propositional algebra have the relationship of boolean propositional algebra and its subalgebra. The necessary and sufficient conditions for that homomorphic function to be onto-order preserving, and also an extension of boolean propositional algebra, are explored.
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。
