Semipowers

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 4 in Simple Relation Algebras, 2017, pp 103-131 from Springer

Abstract: Abstract In the semipower construction, a single simple relation algebra 𝔅 $$\mathfrak{B}$$ and a power I are given, and bijections are used to make copies of 𝔅 $$\mathfrak{B}$$ in every component of a corresponding rectangular system; see Figure 4.1. The construction is applied in Chapter 6 to described various classes of relation algebras for which representation theorems exist in the literature. It also serves as a paradigm for a more general and more intricate semiproduct construction that will be investigated in Chapter 8

Keywords: Simple Relation Algebra; Rectangular System; Semiproducts; Basic Algebra; Functional Atoms (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-67696-8_4

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