# Sh:983

• Pinsker, M., & Shelah, S. (2013). Universality of the lattice of transformation monoids. Proc. Amer. Math. Soc., 141(9), 3005–3011.
• Abstract:
The set of all transformation monoids on a fixed set of infinite cardinality \lambda, equipped with the order of inclusion, forms an algebraic lattice Mon(\lambda) with 2^\lambda compact elements. We show that this lattice is universal, i.e., every algebraic lattice with at most 2^\lambda compact elements is isomorphic to a complete sublattice of Mon(\lambda).
• published version (7p)
Bib entry
@article{Sh:983,
author = {Pinsker, Michael and Shelah, Saharon},
title = {{Universality of the lattice of transformation monoids}},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {141},
number = {9},
year = {2013},
pages = {3005--3011},
issn = {0002-9939},
doi = {10.1090/S0002-9939-2013-11566-2},
mrclass = {06B15 (06B23 20M20)},
mrnumber = {3068953},
mrreviewer = {Yan Hui Wang},
doi = {10.1090/S0002-9939-2013-11566-2},
note = {\href{https://arxiv.org/abs/1107.3946}{arXiv: 1107.3946}},
arxiv_number = {1107.3946}
}