Right Noetherian and coherent monoids

Lead Research Organisation: University of St Andrews
Department Name: Mathematics and Statistics

Abstract

Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.

Publications

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East J (2023) Congruence Lattices of Ideals in Categories and (Partial) Semigroups in Memoirs of the American Mathematical Society

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East J (2022) Classification of congruences of twisted partition monoids in Advances in Mathematics

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East J (2022) Properties of congruences of twisted partition monoids and their lattices in Journal of the London Mathematical Society

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Gould V (2022) On minimal ideals in pseudo-finite semigroups in Canadian Journal of Mathematics

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Gray R (2023) ON GROUPS OF UNITS OF SPECIAL AND ONE-RELATOR INVERSE MONOIDS in Journal of the Institute of Mathematics of Jussieu

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MILLER C (2021) ON SEPARABILITY FINITENESS CONDITIONS IN SEMIGROUPS in Journal of the Australian Mathematical Society

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O'Reilly G (2021) On separability properties in direct products of semigroups in Monatshefte für Mathematik

 
Description There has been a flurry of activity on the project in 2022/23. The key results: new insights into interactions between pseudofinite semigroups and minimal ideals, detailed theory of diameters of pseusdofinite semigroups, a general method for computing heights of congruence lattices, a proof that the full transformation monoid and several similar monoids are not coherent, theory of congruences of direct products of simple semigroups, applications to congruence lattices of twisted partition monoids, variants of full transformation monoids, beginnings of a theory of free projection generated *-regular semigroups.
Exploitation Route The result coming out of this project are likely to be widely used by researchers in semigroup theory, representation theory, other fields of algebra, etc.
Sectors Education