James East

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20232026

most citedCategorical representation of DRC-semigroups

1 citations · 1 across the 8 of their papers we have counts for

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math.RA2024★ 1 cited

Categorical representation of DRC-semigroups

James East, Matthias Fresacher, P. A. Azeef Muhammed +1

DRC-semigroups model associative systems with domain and range operations, and contain many important classes, such as inverse, restriction, Ehresmann, regular $*$ -, and $*$ -regula…

math.RA2024

Diameters of endomorphism monoids of chains

James East, Victoria Gould, Craig Miller +1

The left and right diameters of a monoid are topological invariants defined in terms of suprema of lengths of derivation sequences with respect to finite generating sets for the un…

math.RA2024

Projection algebras and free projection- and idempotent-generated regular $*$ -semigroups

James East, Robert D. Gray, P. A. Azeef Muhammed +1

The purpose of this paper is to introduce a new family of semigroups - the free projection-generated regular $*$ -semigroups - and initiate their systematic study. Such a semigroup…

math.RA2024

Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups

Igor Dolinka, James East, Nik Ruškuc

Let $T_{X}$ be the full transformation monoid over a finite set $X$ , and fix some $a \in T_{X}$ of rank $r$ . The variant $T_{X}^{a}$ has underlying set $T_{X}$ , and operation $f ⋆ g = f a g$ .…

Categorical representation of DRC-semigroups

Diameters of endomorphism monoids of chains

Projection algebras and free projection- and idempotent-generated regular ∗-semigroups

Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups

Projection algebras and free projection- and idempotent-generated regular $*$ -semigroups