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math.RA2012★ 30 cited
Finite Gröbner--Shirshov bases for Plactic algebras and biautomatic structures for Plactic monoids
Alan J. Cain, Robert D. Gray, António Malheiro
This paper shows that every Plactic algebra of finite rank admits a finite Gröbner--Shirshov basis. The result is proved by using the combinatorial properties of Young tableaux to…
math.GR2012
Quasi-isometry and finite presentations of left cancellative monoids
Robert D. Gray, Mark Kambites
We show that being finitely presentable and being finitely presentable with solvable word problem are quasi-isometry invariants of finitely generated left cancellative monoids. Our…
math.GR2012
Ideals and finiteness conditions for subsemigroups
R. Gray, V. Maltcev, J. D. Mitchell +1
In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroup…