A finite interval in the subsemigroup lattice of the full transformation monoid.
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Publication:467525
DOI10.1007/s00233-013-9537-0zbMath1308.20055arXiv1301.2171OpenAlexW2050827826MaRDI QIDQ467525
James D. Mitchell, Julius Jonušas
Publication date: 3 November 2014
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.2171
lattices of subsemigroupsfull transformation semigroupsmaximal subsemigroupscountable symmetric group
Semigroups of transformations, relations, partitions, etc. (20M20) Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30)
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Cites Work
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- The set of maximal closed classes of operations on an infinite set \(A\) has cardinality \(2^{2| A|}\)
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- On relative ranks of full transformation semigroups
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- Maximal subsemigroups of the semigroup of all mappings on an infinite set
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