Robert D. Gray

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math.GR2025

Twisted products of monoids

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

A twisting of a monoid $S$ is a map $I^¦ : S \times S \to N$ satisfying the identity $I^¦ (a, b) + I^¦ (ab, c) = I^¦ (a, b c) + I^¦ (b, c)$ . Together with an additive commutative monoid $M$ ,…

math.GR2025

Maximal subgroups of free projection- and idempotent-generated semigroups with applications to partition monoids

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

This paper investigates the maximal subgroups of a free projection-generated regular $*$ -semigroup $P G (P)$ over a projection algebra $P$ , and their relationship to the maximal subg…