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ToolsElliott, Luna, Levine, Alex and Mitchell, James (2025) E-disjunctive inverse semigroups. Journal of Algebra. ISSN 0021-8693
Full text not available from this repository. (Request a copy)Abstract
In this paper we provide an overview of the class of inverse semigroups S such that every congruence on S relates at least one idempotent to a non-idempotent; such inverse semigroups are called E-disjunctive. This overview includes the study of the inverse semigroup theoretic structure of E-disjunctive semigroups; a large number of natural examples; some asymptotic results establishing the rarity of such inverse semigroups; and a general structure theorem for all inverse semigroups where the building blocks are E-disjunctive.
| Item Type: | Article |
|---|---|
| Additional Information: | Funding information: The second named author was supported by a London Mathematical Society Early Career Fellowship (ECF-2022-09) and the Heilbronn Institute for Mathematical Research during this work. |
| Faculty \ School: | Faculty of Science > School of Engineering, Mathematics and Physics |
| UEA Research Groups: | Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) |
| Depositing User: | LivePure Connector |
| Date Deposited: | 18 Sep 2025 09:32 |
| Last Modified: | 21 Sep 2025 06:32 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/100435 |
| DOI: | 10.1016/j.jalgebra.2025.08.041 |
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