{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HVMPMHSBPXJ7OHZ6YQPW5MABG2","short_pith_number":"pith:HVMPMHSB","schema_version":"1.0","canonical_sha256":"3d58f61e417dd3f71f3ec41f6eb001368237cc974bc075e4e7149073817e1a76","source":{"kind":"arxiv","id":"1706.00571","version":1},"attestation_state":"computed","paper":{"title":"On EMV-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Anatolij Dvure\\v{c}enskij, Omid Zahiri","submitted_at":"2017-06-02T07:19:34Z","abstract_excerpt":"The paper deals with an algebraic extension of $MV$-algebras based on the definition of generalized Boolean algebras. We introduce a new algebraic structure, not necessarily with a top element, which is called an $EMV$-algebra and every $EMV$-algebra contains an $MV$-algebra. First, we present basic properties of $EMV$-algebras, give some examples, introduce and investigate congruence relations, ideals and filters on this algebra. We show that each $EMV$-algebra can be embedded into an $MV$-algebra and we characterize $EMV$-algebras either as $MV$-algebras or maximal ideals of $MV$-algebras. W"},"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":"1706.00571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-06-02T07:19:34Z","cross_cats_sorted":[],"title_canon_sha256":"8678bdfe5140359cdb2ec85f7ff0df70c00729a2bdae475c48c959223cce13cb","abstract_canon_sha256":"71372f39309e071a15f1891bb8cec1de2adab79eb0f7cd5b44cf9a8ac7d9715a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:12.672887Z","signature_b64":"iQWME6k1OYEcYSC9eZ2KwDFEkVdLt6D0HBY74oq8Uf5mqNNpAVXINaYeNPK7AUpvEHCaMmeEtVwRNEj4JZz+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d58f61e417dd3f71f3ec41f6eb001368237cc974bc075e4e7149073817e1a76","last_reissued_at":"2026-05-18T00:43:12.672264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:12.672264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On EMV-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Anatolij Dvure\\v{c}enskij, Omid Zahiri","submitted_at":"2017-06-02T07:19:34Z","abstract_excerpt":"The paper deals with an algebraic extension of $MV$-algebras based on the definition of generalized Boolean algebras. We introduce a new algebraic structure, not necessarily with a top element, which is called an $EMV$-algebra and every $EMV$-algebra contains an $MV$-algebra. First, we present basic properties of $EMV$-algebras, give some examples, introduce and investigate congruence relations, ideals and filters on this algebra. We show that each $EMV$-algebra can be embedded into an $MV$-algebra and we characterize $EMV$-algebras either as $MV$-algebras or maximal ideals of $MV$-algebras. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00571","kind":"arxiv","version":1},"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":"1706.00571","created_at":"2026-05-18T00:43:12.672371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.00571v1","created_at":"2026-05-18T00:43:12.672371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00571","created_at":"2026-05-18T00:43:12.672371+00:00"},{"alias_kind":"pith_short_12","alias_value":"HVMPMHSBPXJ7","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"HVMPMHSBPXJ7OHZ6","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"HVMPMHSB","created_at":"2026-05-18T12:31:21.493067+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/HVMPMHSBPXJ7OHZ6YQPW5MABG2","json":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2.json","graph_json":"https://pith.science/api/pith-number/HVMPMHSBPXJ7OHZ6YQPW5MABG2/graph.json","events_json":"https://pith.science/api/pith-number/HVMPMHSBPXJ7OHZ6YQPW5MABG2/events.json","paper":"https://pith.science/paper/HVMPMHSB"},"agent_actions":{"view_html":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2","download_json":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2.json","view_paper":"https://pith.science/paper/HVMPMHSB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.00571&json=true","fetch_graph":"https://pith.science/api/pith-number/HVMPMHSBPXJ7OHZ6YQPW5MABG2/graph.json","fetch_events":"https://pith.science/api/pith-number/HVMPMHSBPXJ7OHZ6YQPW5MABG2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2/action/storage_attestation","attest_author":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2/action/author_attestation","sign_citation":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2/action/citation_signature","submit_replication":"https://pith.science/pith/HVMPMHSBPXJ7OHZ6YQPW5MABG2/action/replication_record"}},"created_at":"2026-05-18T00:43:12.672371+00:00","updated_at":"2026-05-18T00:43:12.672371+00:00"}