The cardinality of the set of all clones containing a given minimal clone on three elements

DOI10.1007/s00012-012-0207-yzbMath1263.08001OpenAlexW2055384243MaRDI QIDQ1935019

Dmitriy N. Zhuk

Publication date: 30 January 2013

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

Full work available at URL: https://doi.org/10.1007/s00012-012-0207-y

zbMATH Keywords

three-valued logicclonesminimal clones

Mathematics Subject Classification ID

Operations and polynomials in algebraic structures, primal algebras (08A40) Many-valued logic (03B50)

Related Items (6)

A short introduction to clones. ⋮ Galois theory for semiclones ⋮ Countability of the set of closed overclasses of some minimal classes in the partly ordered set \(\mathcal{L}_{2}^{3}\) of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic ⋮ Submaximal clones over a three-element set up to minor-equivalence ⋮ The existence of a near-unanimity function is decidable ⋮ Key (critical) relations preserved by a weak near-unanimity function

Cites Work

• Existence of finite bases in closed classes of Boolean functions
• Function Algebras on Finite Sets
• The Two-Valued Iterative Systems of Mathematical Logic. (AM-5)
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