# Sh:983

- Pinsker, M., & Shelah, S. (2013).
*Universality of the lattice of transformation monoids*. Proc. Amer. Math. Soc.,**141**(9), 3005–3011. arXiv: 1107.3946 DOI: 10.1090/S0002-9939-2013-11566-2 MR: 3068953 -
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} }