Two-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 11 in Simple Relation Algebras, 2017, pp 483-521 from Springer

Abstract: Abstract We now apply the insertion semiproduct construction of Chapter 10 to extend some of the results in Chapter 6 concerning quasi-bijective relation algebras. Recall that a relation algebra is said to be quasi-bijective relation if it is atomic and if each rectangle with atomic sides is above at most one non-bijective atom. A complete description of these algebras is given in Structure Theorem 6.10, and a consequence of the description is that quasi-bijective relation algebras are always completely representable (see Representation Theorem 6.11).

Keywords: Integral Relation Algebras; Semiproducts; Side Atoms; Relative Multiplication Table; Cayley Representation (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-67696-8_11

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