John Meakin
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View article: Inverse monoids and immersions of Δ-complexes
Inverse monoids and immersions of Δ-complexes Open
An immersion [Formula: see text] between [Formula: see text]-complexes is a [Formula: see text]-map that induces injections from star sets of [Formula: see text] to star sets of [Formula: see text]. We study immersions between finite-dimen…
View article: The mathematical work of K.S.S. Nambooripad
The mathematical work of K.S.S. Nambooripad Open
We provide an overview of the mathematical work of K.S.S. Nambooripad, with a focus on his contributions to the theory of regular semigroups. In particular, we outline Nambooripad's seminal contributions to the structure theory of regular …
View article: GRAPH IMMERSIONS, INVERSE MONOIDS AND DECK TRANSFORMATIONS
GRAPH IMMERSIONS, INVERSE MONOIDS AND DECK TRANSFORMATIONS Open
If $f:\tilde{\unicode[STIX]{x1D6E4}}\rightarrow \unicode[STIX]{x1D6E4}$ is a covering map between connected graphs, and $H$ is the subgroup of $\unicode[STIX]{x1D70B}_{1}(\unicode[STIX]{x1D6E4},v)$ used to construct the cover, then it is w…
View article: Graph inverse semigroups and Leavitt path algebras
Graph inverse semigroups and Leavitt path algebras Open
We study two classes of inverse semigroups built from directed graphs, namely graph inverse semigroups and a new class of semigroups that we refer to as Leavitt inverse semigroups. These semigroups are closely related to graph $C^*$-algebr…
View article: A structural property of Adian inverse semigroups
A structural property of Adian inverse semigroups Open
We prove that an inverse semigroup over an Adian presentation is E-unitary.