Dissertation/Thesis Abstract

Relation algebras
by Mirin, Alison C., M.A., Mills College, 2013, 147; 1537718
Abstract (Summary)

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 These results are mostly generalizations of theorems proven in Givant's unpublished work, Introduction to Relation Algebras.

Indexing (document details)
Advisor: Givant, Steven R.
School: Mills College
Department: Mathematics
School Location: United States -- California
Source: MAI 51/06M(E), Masters Abstracts International
Subjects: Mathematics
Keywords: Boolean, Operators, Relation algebras
Publication Number: 1537718
ISBN: 978-1-303-09511-5
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