Monoidal intervals of clones on infinite sets

DOI10.1016/j.disc.2007.03.039zbMath1127.08002arXivmath/0509206OpenAlexW2070756019MaRDI QIDQ2463469

Michael Pinsker

Publication date: 12 December 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509206

zbMATH Keywords

algebraic latticemonoidal intervalclone latticecompletely join-irreducible elementdually algebraic lattice

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Structure theory of algebraic structures (08A05) Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items (1)

Very many clones above the unary clone

Cites Work

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• A survey of clones on infinite sets
• The clone space as a metric space
• On clones, transformation monoids, and associative rings
• Binary operations suffice to test collapsing of monoidal intervals
• Monoid intervals in lattices of clones
• Very many clones above the unary clone
• Clones containing all almost unary functions
• Set Theory
• Algebraic lattices are complete sublattices of the clone lattice over an infinite set
• The Two-Valued Iterative Systems of Mathematical Logic. (AM-5)

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