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arXiv · 1604.08227

On sets of first-order formulas axiomatizing representable relation algebras

Jeremy F. Alm
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Abstract

This is the author's 2004 Master's thesis at Iowa State University, done under the supervision of Roger D. Maddux. It provides a background in relation algebras. Three results from the literature are demonstrated in full: (i.) RRA is a variety. (ii.) RRA is not finitely based. (iii.) Any equational basis for RRA has infinitely many variables. We also give an elementary proof of Birkoff's variety theorem.

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BibTeXRIS

Jeremy F. Alm. 2016-04-27. On sets of first-order formulas axiomatizing representable relation algebras. https://arxiv.org/abs/1604.08227

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