Submaximal clones over a three-element set up to minor-equivalence

DOI10.1007/s00012-024-00852-warXiv2304.12807OpenAlexW4392925261MaRDI QIDQ6203757

Albert Vucaj, Dmitriy N. Zhuk

Publication date: 8 April 2024

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.12807

zbMATH Keywords

three-valued logicclonesprimitive positive constructionlinear Mal'cev conditionsminor homomorphisms

Mathematics Subject Classification ID

Applications of universal algebra in computer science (08A70) Equational logic, Mal'tsev conditions (08B05) Many-valued logic (03B50)

Cites Work

• Key (critical) relations preserved by a weak near-unanimity function
• Polynomial interpolation and the Chinese remainder theorem for algebraic systems
• The wonderland of reflections
• Taylor's modularity conjecture and related problems for idempotent varieties
• The cardinality of the set of all clones containing a given minimal clone on three elements
• Two-element structures modulo primitive positive constructability
• Finite degree clones are undecidable
• Dualizable algebras with parallelogram terms
• Closed systems of functions and predicates
• On algebras with many symmetric operations
• The structure of finite algebras
• Smooth digraphs modulo primitive positive constructability and cyclic loop conditions
• Algebraic Approach to Promise Constraint Satisfaction
• The Two-Valued Iterative Systems of Mathematical Logic. (AM-5)
• The lattice of clones of self-dual operations collapsed
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