{ "id": "2302.04316", "version": "v1", "published": "2023-02-08T20:14:53.000Z", "updated": "2023-02-08T20:14:53.000Z", "title": "The determinant of finite semigroups of the pseudovariety ECOM", "authors": [ "M. H. Shahzamanian" ], "categories": [ "math.GR" ], "abstract": "The purpose of this paper is to identify the non-zero semigroup determinant of a class of finite semigroups in which every two idempotents commute. These semigroups are a larger class than the semigroups with central idempotents and also inverse semigroups.", "revisions": [ { "version": "v1", "updated": "2023-02-08T20:14:53.000Z" } ], "analyses": { "keywords": [ "finite semigroups", "pseudovariety ecom", "non-zero semigroup determinant", "inverse semigroups", "central idempotents" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }