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A group-theoretical interpretation of the word problem for free idempotent generated semigroups [PDF]

open access: yesAdvances in Mathematics, 2019
The set of idempotents of any semigroup carries the structure of a biordered set, which contains a great deal of information concerning the idempotent generated subsemigroup of the semigroup in question. This leads to the construction of a free idempotent generated semigroup $\mathsf{IG}(\mathcal{E})$ - the `free-est' semigroup with a given biordered ...
Yang Dandan   +2 more
exaly   +5 more sources

A class of bisimple, idempotent-generated congruence-free semigroups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisLet X be a set with infinite regular cardinality m. Within the full transformation semigroup ℑ(X) a subsemigroup Sm is described which is bisimple and idempotent-generated. Its minimum non-trivial homomorphic image has both these properties and is also congruence-free.
openaire   +2 more sources

The free spectra of varieties generated by idempotent semigroups

2019
We give an exact formula for the logarithm of the free spectra of band varieties.
Pluhar, G., Wood, J.
openaire   +1 more source

On regularity and the word problem for free idempotent generated semigroups

Proceedings of the London Mathematical Society, 2017
Igor Dolinka, Nik Ruškuc
exaly  

Free idempotent generated semigroups: subsemigroups, retracts and maximal subgroups

Communications in Algebra, 2018
Yang Dandan   +2 more
exaly  

Semigroups generated by a group and an idempotent

Communications in Algebra, 1998
Donald B Mcalister
exaly  

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