4 citations · 6 across the 5 of their papers we have counts for
5 papers
Homotopy bases and finite derivation type for Schutzenberger groups of monoids
Robert Gray, António Malheiro, Stephen J. Pride
Given a finitely presented monoid and a homotopy base for the monoid, and given an arbitrary Schutzenberger group of the monoid, the main result of this paper gives a homotopy base…
On properties not inherited by monoids from their Schutzenberger groups
Robert Gray, António Malheiro, Stephen J Pride
We give an example of a monoid with finitely many left and right ideals, all of whose Schutzenberger groups are presentable by finite complete rewriting systems, and so each have f…
Homological finiteness properties of monoids, their ideals and maximal subgroups
Robert Gray, Stephen J Pride
We consider the general question of how the homological finiteness property left-FPn holding in a monoid influences, and conversely depends on, the property holding in the substruc…
On the residual finiteness and other properties of (relative) one-relator groups
Stephen J Pride
A relative one-relator presentation has the form P = < X,H ; R > where X is a set, H is a group, and R is a group word on X and H. We show that if the group word on X obtained from…
Homological finiteness conditions for groups, monoids and algebras
Stephen J. Pride
Recently Alonso and Hermiller introduced a homological finiteness condition\break (here called {\it weak} ) for monoid rings, and Kobayashi and Otto introduc…