Equational theory of relation algebras with positive operations (Q1901893)

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scientific article; zbMATH DE number 815631
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Equational theory of relation algebras with positive operations
scientific article; zbMATH DE number 815631

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    Equational theory of relation algebras with positive operations (English)
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    3 January 1996
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    We use techniques of graph theory in order to give an effective description of equational theories of relation algebras with positive operations. As a consequence, in particular, we prove their solvability. The obtained result is applied to characterize varieties generated by positive reducts of Tarski algebras of relations, i.e., by algebras with the set of operations \(\Omega \subset \{\circ,^{-1}, \cap, \cup\}\).
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    equational theories
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    relation algebras
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    positive operations
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    solvability
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    varieties
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    positive reducts of Tarski algebras of relations
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