The set of maximal closed classes of operations on an infinite set \(A\) has cardinality \(2^{2| A|}\)

DOI10.1007/BF01224718zbMath0345.02010OpenAlexW2002410380WikidataQ61772384 ScholiaQ61772384MaRDI QIDQ1233015

Ivo G. Rosenberg

Publication date: 1976

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224718

Mathematics Subject Classification ID

Many-valued logic (03B50) Algebraic structures (08Axx)

Related Items (12)

Learning from each other in a duopoly: Numerical approach ⋮ All centralising monoids with majority witnesses on a four-element set ⋮ Clones of topological spaces ⋮ A finite interval in the subsemigroup lattice of the full transformation monoid. ⋮ Universal algebras ⋮ Isomorphism and local isomorphism of clones of spaces ⋮ Clones from creatures ⋮ The subalgebra systems of direct powers ⋮ CLONES FROM IDEALS ⋮ All creatures great and small ⋮ The algebras of partial functions and their invariants ⋮ All clones are centralizer clones

Cites Work

• The number of maximal closed classes in the set of functions over a finite domain
• The Two-Valued Iterative Systems of Mathematical Logic. (AM-5)
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