{"id":"https://openalex.org/W2213272583","doi":"https://doi.org/10.1007/s00153-015-0464-5","title":"Left division in the free left distributive algebra on many generators","display_name":"Left division in the free left distributive algebra on many generators","publication_year":2015,"publication_date":"2015-12-29","ids":{"openalex":"https://openalex.org/W2213272583","doi":"https://doi.org/10.1007/s00153-015-0464-5","mag":"2213272583"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-015-0464-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-015-0464-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073409865","display_name":"Sheila Miller","orcid":"https://orcid.org/0000-0002-0226-6991"},"institutions":[{"id":"https://openalex.org/I76513827","display_name":"New York City College of Technology","ror":"https://ror.org/021a7pw18","country_code":"US","type":"education","lineage":["https://openalex.org/I76513827"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sheila K. Miller","raw_affiliation_strings":["Department of Mathematics, City University of New York, New York City College of Technology, 300 Jay Street, Brooklyn, NY, 11201, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of New York, New York City College of Technology, 300 Jay Street, Brooklyn, NY, 11201, USA","institution_ids":["https://openalex.org/I76513827","https://openalex.org/I174216632"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073409865"],"corresponding_institution_ids":["https://openalex.org/I174216632","https://openalex.org/I76513827"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12880228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"55","issue":"1-2","first_page":"177","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9990000128746033,"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":0.9990000128746033,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.8541504144668579},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8320221900939941},{"id":"https://openalex.org/keywords/division-algebra","display_name":"Division algebra","score":0.6637619733810425},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5625630617141724},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5610072016716003},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5332339406013489},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4615146815776825},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.3467925190925598},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34563007950782776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3295084238052368},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06681618094444275}],"concepts":[{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.8541504144668579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8320221900939941},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.6637619733810425},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5625630617141724},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5610072016716003},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5332339406013489},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4615146815776825},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.3467925190925598},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34563007950782776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3295084238052368},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06681618094444275},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-015-0464-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-015-0464-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1506384299","https://openalex.org/W1605752106","https://openalex.org/W1611941741","https://openalex.org/W1971801916","https://openalex.org/W1972757326","https://openalex.org/W1979536616","https://openalex.org/W2002562745","https://openalex.org/W2016638309","https://openalex.org/W2030780043","https://openalex.org/W2042526949","https://openalex.org/W2077565029","https://openalex.org/W2078020246","https://openalex.org/W2081806716","https://openalex.org/W2112462868","https://openalex.org/W2136680413","https://openalex.org/W4244829500","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1968111185","https://openalex.org/W1506384299","https://openalex.org/W4298359761","https://openalex.org/W2136362383","https://openalex.org/W4224319402","https://openalex.org/W4376312371","https://openalex.org/W2952905577","https://openalex.org/W2314446835","https://openalex.org/W3200023677","https://openalex.org/W2265309711"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}