Quotient Relation Algebras and Equijections

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 7 in Simple Relation Algebras, 2017, pp 217-261 from Springer

Abstract: Abstract The semipower construction of Chapter 4 builds a simple relation algebra from a given simple base algebra by using bijections to copy the base algebra to each component of a rectangular system. A much more general and interesting construction is possible. Instead of copying the base algebra to each component, it is possible to copy various quotients of the base algebra, and even various quotients from a coordinated system of base algebras. This chapter investigates two critical components of the construction that are of independent interest: quotient relation algebras and equijections. Some historical remarks are gathered together at the end of the chapter.

Date: 2017
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DOI: 10.1007/978-3-319-67696-8_7

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