N. Ruškuc

activity

20092026

most citedMaximal subgroups of free idempotent generated semigroups over the full transformation monoid

35 citations · 42 across the 18 of their papers we have counts for

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4 papers · 1 filter

math.RA2025★ 1 cited

Semigroup Congruences and Subsemigroups of the Direct Square

Callum Barber, Nik Ruškuc

We investigate semigroups $S$ which have the property that every subsemigroup of $S \times S$ which contains the diagonal ${(s, s) : s \in S}$ is necessarily a congruence on $S…

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 $f ⋆ g = f a g$ .…

math.RA2023

Coherency properties for monoids of transformations and partitions

Matthew Brookes, Victoria Gould, Nik Ruskuc

A monoid $S$ is right coherent if every finitely generated subact of every finitely presented right $S$ -act itself has a finite presentation; it is weakly right coherent if every f…

math.RA2021

On the number of countable subdirect powers of unary algebras

Nik Ruskuc, Bill de Witt

A finite unary algebra $(A, F)$ has only countably many countable subdirect powers if and only if every operation $f \in F$ is either a permutation or a constant mapping.