The Semiring Properties of Boolean Propositional Algebras

Details The Semiring Properties of Boolean Propositional Algebras The Semiring Properties of Boolean Propositional Algebras

2009-01-16

arxiv.org/abs/0901.2439v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

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.

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