{"public_id":"cl_a4522dec8d67f56267d19e888814a986","status":"active","superseded_by_public_id":null,"corpus_id":10350232,"text":"A quasi-co-Frobenius coring can be characterized as a locally projective generator in its category of comodules.","confidence":0.98,"paper":{"corpus_id":10350232,"title":"Quasi-co-Frobenius corings as Galois comodules","url":"https://sah.borca.ai/papers/10350232"},"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.98,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_0ba9b8732ed6c1507c38f91d05567b5e","name":"category of comodules","description":"The category whose objects are comodules over a coring and whose morphisms are comodule maps.","types":["category"],"url":"https://sah.borca.ai/concepts/co_0ba9b8732ed6c1507c38f91d05567b5e"},{"public_id":"co_2582ad856a8025d4b4aff5754a7eff18","name":"quasi-co-Frobenius coring","description":"A coring satisfying a quasi-co-Frobenius condition.","types":["algebraic structure"],"url":"https://sah.borca.ai/concepts/co_2582ad856a8025d4b4aff5754a7eff18"},{"public_id":"co_b336ea780c329f4cda9c4eff249c7859","name":"locally projective generator","description":"An object in a module or comodule category that is locally projective and generates the category.","types":["category-theoretic property"],"url":"https://sah.borca.ai/concepts/co_b336ea780c329f4cda9c4eff249c7859"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_a4522dec8d67f56267d19e888814a986"}