On algebras of binary relations with conjunctive operations
type: Item
instance of: scholarly article
title: On algebras of binary relations with conjunctive operations
zbMATH Open document ID: 1476.03085
published in: Algebra Universalis
publication date: 2021-06-29T00:00:00Z
review text: The axiom systems and bases of identities for classes of algebras of binary relations with operations defined by logical formulas containing only conjunctions are presented.
Mathematics Subject Classification ID: 03G15
Mathematics Subject Classification ID: 08B05
Mathematics Subject Classification ID: 08A02
Mathematics Subject Classification ID: 06F05
zbMATH DE Number: 7364299
zbMATH Keywords: algebra of relations
zbMATH Keywords: identities
zbMATH Keywords: varieties
zbMATH Keywords: quasi-identities
zbMATH Keywords: quasi-varieties
zbMATH Keywords: groupoids
zbMATH Keywords: partially ordered groupoids
author: D. A. Bredikhin
reviewed by: Wiesław A. Dudek
MaRDI profile type: Publication
full work available at URL: s00012-021-00730-9
OpenAlex ID: W3164522206
cites work: Representations of distributive lattice-ordered semigroups with binary relations
cites work: The equational theory of union-free algebras of relations
cites work: Axiomatizability of positive algebras of binary relations
cites work: Q4789455
cites work: Q3979086
cites work: Q4011711
cites work: Varieties of groupoids associated with involuted restrictive bisemigroups of binary relations
cites work: Q4273430
cites work: How can representation theories of inverse semigroups and lattices be united?
cites work: On quasi-identities of relation algebras with Diophantine operations
cites work: Q4948643
cites work: Relation algebras with Diophantine operations
cites work: Q4508446
cites work: On the variety generated by partially ordered involuted semigroups of binary relations
cites work: Q5701815
cites work: On varieties of groupoids of relations with operation of binary cylindrification.
cites work: On identities of relation algebras with domino operations.
cites work: On partially ordered semigroups of relations with domino operations.
cites work: On generalized subreducts of Tarski's algebras of relations with the operation of bi-directional intersection
cites work: Identities of groupoids of relations with operation of cylindered intersection
cites work: On classes of generalized subreducts of Tarski's relation algebras with one Diophantine binary operation
cites work: On algebras of relations with operations of left and right reflexive product
cites work: Representations of ordered semigroups and lattices by binary relations
cites work: Identities of semigroups of relations with an operator of reflexive double cylindrification
cites work: Arguesian lattices which are not type-1
cites work: Axiomatizability of representable domain algebras
cites work: Ordered domain algebras
cites work: Axiomatizability of reducts of algebras of relations
cites work: Representable semilattice-ordered monoids
cites work: Representation of Modular Lattices and Of Relation Algebras
cites work: Q4011720
cites work: The representation of relation algebras. II
cites work: Nonassociative algebraic structures in cryptography and coding
cites work: On representable relation algebras
cites work: Short equational bases for two varieties of groupoids associated with involuted restrictive bisemigroups of binary relations.
cites work: Relation algebras and function semigroups
cites work: Q4011733
cites work: On the calculus of relations
cites work: Q5833217
DOI: 10.1007/S00012-021-00730-9
description: scientific article; zbMATH DE number 7364299