This work is a mathematical and historical exposition of relation algebras. I explore Chin and Tarski's Distributive and modular laws in the arithmetic of relation algebras, as well as Jónsson and Tarski's Boolean Algebras With Operators. The proofs given in the papers themselves are very brief and often incomplete, so I supply elaboration, clarification, and some minor corrections. I also reorganize some of the material, as well as prove some results about canonical extensions of Boolean algebras with operators. These results are mostly generalizations of theorems proven in Givant's unpublished work, Introduction to Relation Algebras.
|Advisor:||Givant, Steven R.|
|School Location:||United States -- California|
|Source:||MAI 51/06M(E), Masters Abstracts International|
|Keywords:||Boolean, Operators, Relation algebras|
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