The Semiring Properties of Boolean Propositional Algebras
Rings and Algebras
2009-06-26 v1 Logic
Abstract
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.
Cite
@article{arxiv.0901.2439,
title = {The Semiring Properties of Boolean Propositional Algebras},
author = {Mahesh Rudrachar and Shrisha Rao and Amit Raj},
journal= {arXiv preprint arXiv:0901.2439},
year = {2009}
}
Comments
10 pages