{"id":"https://openalex.org/W2572425123","doi":"https://doi.org/10.1215/00294527-2019-0009","title":"LD-Algebras Beyond I0","display_name":"LD-Algebras Beyond I0","publication_year":2019,"publication_date":"2019-06-11","ids":{"openalex":"https://openalex.org/W2572425123","doi":"https://doi.org/10.1215/00294527-2019-0009","mag":"2572425123"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2019-0009","is_oa":false,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0009","pdf_url":null,"source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.01343","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028621137","display_name":"Vincenzo Dimonte","orcid":"https://orcid.org/0000-0002-4487-2922"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Vincenzo Dimonte","raw_affiliation_strings":["Universit\u00e0 degli Studi di Udine, via delle Scienze, 206 33100 Udine"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Udine, via delle Scienze, 206 33100 Udine","institution_ids":["https://openalex.org/I129043915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028621137"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":null,"apc_paid":null,"fwci":0.3836,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50922405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"60","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6104902029037476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6027712821960449},{"id":"https://openalex.org/keywords/nothing","display_name":"Nothing","score":0.6011109352111816},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32079219818115234},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30933108925819397},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.048107653856277466},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.046826958656311035}],"concepts":[{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6104902029037476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6027712821960449},{"id":"https://openalex.org/C136815107","wikidata":"https://www.wikidata.org/wiki/Q154242","display_name":"Nothing","level":2,"score":0.6011109352111816},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32079219818115234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30933108925819397},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.048107653856277466},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.046826958656311035}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1215/00294527-2019-0009","is_oa":false,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0009","pdf_url":null,"source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1701.01343","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.01343","pdf_url":"https://arxiv.org/pdf/1701.01343","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1560218425","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1560218425","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:air.uniud.it:11390/1166327","is_oa":false,"landing_page_url":"https://projecteuclid.org/download/pdfview_1/euclid.ndjfl/1560218425","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"internazionale"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.01343","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.01343","pdf_url":"https://arxiv.org/pdf/1701.01343","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W96380172","https://openalex.org/W1605752106","https://openalex.org/W1995248832","https://openalex.org/W1995613816","https://openalex.org/W2004433594","https://openalex.org/W2043936577","https://openalex.org/W2062878734","https://openalex.org/W2078020246","https://openalex.org/W2089092752","https://openalex.org/W2143005794","https://openalex.org/W2213272583","https://openalex.org/W2278191539","https://openalex.org/W2560190033"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2216420239","https://openalex.org/W3011492772","https://openalex.org/W2499122376","https://openalex.org/W2800570524","https://openalex.org/W2808813869","https://openalex.org/W2109915140","https://openalex.org/W2315519183","https://openalex.org/W2103493327","https://openalex.org/W2375097772"],"abstract_inverted_index":{"The":[0],"algebra":[1],"of":[2,33],"embeddings":[3,18,29],"at":[4,30],"the":[5,31,50],"I3":[6],"level":[7,32],"has":[8],"been":[9],"deeply":[10],"analyzed,":[11],"but":[12],"nothing":[13],"is":[14],"known":[15],"algebra-wise":[16],"for":[17,28],"above":[19],"I3.":[20,54],"In":[21],"this":[22],"article,":[23],"we":[24],"introduce":[25],"an":[26,42],"operation":[27],"I0":[34],"and":[35,37],"above,":[36],"prove":[38],"that":[39,44],"they":[40],"generate":[41],"LD-algebra":[43],"can":[45],"be":[46],"quite":[47],"different":[48],"from":[49],"one":[51],"implied":[52],"by":[53]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}