5 citations · 5 across the 1 of their papers we have counts for
6 papers
Free idempotent generated semigroups: The word problem and structure via gain graphs
Igor Dolinka
Building on the previous extensive study of Yang, Gould and the present author, we provide a more precise insight into the group-theoretical ramifications of the word problem for f…
New results on the prefix membership problem for one-relator groups
Igor Dolinka, Robert D. Gray
In this paper we prove several results regarding decidability of the membership problem for certain submonoids in amalgamated free products and HNN extensions of groups. These gene…
Sandwich semigroups in diagram categories
Ivana Đurđev, Igor Dolinka, James East
This paper concerns a number of diagram categories, namely the partition, planar partition, Brauer, partial Brauer, Motzkin and Temperley-Lieb categories. If denotes a…
A group-theoretical interpretation of the word problem for free idempotent generated semigroups
Yang Dandan, Igor Dolinka, Victoria Gould
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…
Sandwich semigroups in locally small categories II: Transformations
Igor Dolinka, Ivana Ðurđev, James East +4
Fix sets and , and write for the set of all partial functions . Fix a partial function , and define the operation on $\mathca…
Sandwich semigroups in locally small categories I: Foundations
Igor Dolinka, Ivana Đurđev, James East +4
Fix (not necessarily distinct) objects and of a locally small category , and write for the set of all morphisms . Fix a morphism , and defi…