Titlebook: Introduction to Relation Algebras; Relation Algebras, V Steven Givant Textbook 2017 Springer International Publishing AG 2017 Relation alge

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Relativizations,s of . are restricted to a subset of . that is closed under these operations. In the former, the fundamental operations of . are relativized to the subset of all elements below a given element. Relativizations play a fundamental role in the study of direct decompositions of relation algebras.

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Simple algebras,Every homomorphic image of a relation algebra . is isomorphic to a quotient of . modulo some ideal, by the First Isomorphism Theorem 8.39. Larger ideals lead to structurally simpler homomorphic images than smaller ideals, because larger ideals “glue” more elements together than smaller ones.

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