On residual finiteness of monoids, their Schützenberger groups and associated actions
@article{Gray2014OnRF, title={On residual finiteness of monoids, their Sch{\"u}tzenberger groups and associated actions}, author={Robert D. Gray and Nik Ru{\vs}kuc}, journal={Journal of Algebra}, year={2014}, volume={407}, pages={21-45} }
7 Citations
ON SEPARABILITY FINITENESS CONDITIONS IN SEMIGROUPS
- MathematicsJournal of the Australian Mathematical Society
- 2021
Taking residual finiteness as a starting point, we consider three related finiteness properties: weak subsemigroup separability, strong subsemigroup separability and complete separability. We…
Rewriting systems and biautomatic structures for Chinese, hypoplactic, and sylvester monoids
- MathematicsInt. J. Algebra Comput.
- 2015
This paper studies complete rewriting systems and biautomaticity for three interesting classes of finite-rank homogeneous monoids: Chinese monoid, hypoplactic monoids, and sylvester monoids; the monoid algebras corresponding to monoids of these classes are automaton algeBRas in the sense of Ufnarovskij.
Separability conditions in acts over monoids
- Mathematics
- 2021
. We discuss residual finiteness and several related separability conditions for the class of monoid acts, namely weak subact separability, strong subact separability and complete separability. For…
Some Finiteness Conditions for Strong Semilattice of Semigroups
- Mathematics
- 2017
Let be a strong semilattice of semigroups such that is finite and each be a family of disjoint semigroups. In this article some finiteness conditions which are periodicity, local finiteness and…
A classification of disjoint unions of two or three copies of the free monogenic semigroup
- Mathematics
- 2013
We prove that, up to isomorphism and anti-isomorphism, there are only two types of semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only nine types…
On disjoint unions of finitely many copies of the free monogenic semigroup
- Mathematics
- 2012
Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.
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