Quasi-Bijective Relation Algebras

Steven Givant and Hajnal Andréka
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Steven Givant: Mills College, Department of Mathematics
Hajnal Andréka: Alfréd Rényi Institute of Mathematics, Institute of Mathematics, Hungarian Academy of Sciences

Chapter Chapter 6 in Simple Relation Algebras, 2017, pp 189-209 from Springer

Abstract: Abstract One of the principal focuses of research in the theory of relation algebras during the last sixty years has been on representation theorems, theorems which state that every relation algebra satisfying certain conditions is representable. A typical example is the theorem of Jónsson-Tarski [31] that every atomic relation algebra in which the atoms are all functional is representable; there is also an accompanying structural description of these algebras in terms of the complex algebras of Brandt groupoids.

Keywords: Atomic Relation Algebra; Brandt Groupoid; Complex Algebra; Side Atoms; Singleton Atoms (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-67696-8_6

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