{"paper":{"title":"Left equalizer simple semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Attila Nagy","submitted_at":"2015-04-27T17:58:08Z","abstract_excerpt":"In this paper we characterize and construct semigroups whose right regular representation is a left cancellative semigroup. These semigroups will be called left equalizer simple semigroups. For a congruence $\\varrho$ on a semigroup $S$, let ${\\mathbb F}[\\varrho]$ denote the ideal of the semigroup algebra ${\\mathbb F}[S]$ which determines the kernel of the extended homomorphism of ${\\mathbb F}[S]$ onto ${\\mathbb F}[S/\\varrho]$ induced by the canonical homomorphism of $S$ onto $S/\\varrho$. We examine the right colons $({\\mathbb F}[\\varrho]:_r{\\mathbb F}[S])=\\{ a\\in {\\mathbb F}[S]:\\ {\\mathbb F}[S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07183","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}