{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:FTBQHYL2WRFEWKGHZWHIDGBFM2","short_pith_number":"pith:FTBQHYL2","schema_version":"1.0","canonical_sha256":"2cc303e17ab44a4b28c7cd8e81982566b171232c5381562803e7e8d33c315c18","source":{"kind":"arxiv","id":"1504.07183","version":2},"attestation_state":"computed","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1504.07183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-04-27T17:58:08Z","cross_cats_sorted":[],"title_canon_sha256":"09646dffe8d835158d85fd7362690480731c1fd1c818162b556ffa660833b362","abstract_canon_sha256":"50281aaf8d21c6d75e11cefd5f0a0219fe32c84ca414c257615ddee3e26e6933"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:00.973271Z","signature_b64":"9Gnk3orobjJEg4arWAYF+cW6pYw6PKnimbH1gJeSbjcz/eJ+XK8sy80JlRFKhMS3VDDGy2PJNz6E2p8YsJc4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cc303e17ab44a4b28c7cd8e81982566b171232c5381562803e7e8d33c315c18","last_reissued_at":"2026-05-18T01:15:00.972841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:00.972841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1504.07183","created_at":"2026-05-18T01:15:00.972906+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07183v2","created_at":"2026-05-18T01:15:00.972906+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07183","created_at":"2026-05-18T01:15:00.972906+00:00"},{"alias_kind":"pith_short_12","alias_value":"FTBQHYL2WRFE","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"FTBQHYL2WRFEWKGH","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"FTBQHYL2","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2","json":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2.json","graph_json":"https://pith.science/api/pith-number/FTBQHYL2WRFEWKGHZWHIDGBFM2/graph.json","events_json":"https://pith.science/api/pith-number/FTBQHYL2WRFEWKGHZWHIDGBFM2/events.json","paper":"https://pith.science/paper/FTBQHYL2"},"agent_actions":{"view_html":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2","download_json":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2.json","view_paper":"https://pith.science/paper/FTBQHYL2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07183&json=true","fetch_graph":"https://pith.science/api/pith-number/FTBQHYL2WRFEWKGHZWHIDGBFM2/graph.json","fetch_events":"https://pith.science/api/pith-number/FTBQHYL2WRFEWKGHZWHIDGBFM2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2/action/storage_attestation","attest_author":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2/action/author_attestation","sign_citation":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2/action/citation_signature","submit_replication":"https://pith.science/pith/FTBQHYL2WRFEWKGHZWHIDGBFM2/action/replication_record"}},"created_at":"2026-05-18T01:15:00.972906+00:00","updated_at":"2026-05-18T01:15:00.972906+00:00"}