Universality of the lattice of transformation monoids

DOI10.1090/S0002-9939-2013-11566-2zbMath1286.06009arXiv1107.3946MaRDI QIDQ2845449

Michael Pinsker, Saharon Shelah

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3946

zbMATH Keywords

transformation monoidalgebraic latticesubmonoidclosed sublattice

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Complete lattices, completions (06B23) Representation theory of lattices (06B15)

Related Items (3)

A finite interval in the subsemigroup lattice of the full transformation monoid. ⋮ Unnamed Item ⋮ Maximal subsemigroups of the semigroup of all mappings on an infinite set

Cites Work

• Unnamed Item
• A survey of clones on infinite sets
• Intervals in subgroup lattices of infinite groups
• Set Theory
• Algebraic lattices are complete sublattices of the clone lattice over an infinite set
• Representations of Lattices by Sets
• Lattices, equivalence relations, and subgroups

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