Insertion Semiproducts

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 10 in Simple Relation Algebras, 2017, pp 411-481 from Springer

Abstract: Abstract We now describe a way of inserting new elements into a given simple relation algebra 𝔅 $$\mathfrak{B}$$ . The location of the insertion is determined by a reflexive equivalence element e, while the blueprint for the insertion is determined by a relation algebra ℭ $$\mathfrak{C}$$ . The portion of 𝔅 $$\mathfrak{B}$$ that is below e—which is just the relativization 𝔅 ( e ) $$\mathfrak{B}(e)$$ —is enlarged by adjoining copies of the elements of ℭ $$\mathfrak{C}$$ (see Figure 10.1).

Date: 2017
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DOI: 10.1007/978-3-319-67696-8_10

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