{"id":"https://openalex.org/W3085082021","doi":"https://doi.org/10.1007/s11083-019-09516-0","title":"A Compact Representation for Modular Semilattices and Its Applications","display_name":"A Compact Representation for Modular Semilattices and Its Applications","publication_year":2020,"publication_date":"2020-09-10","ids":{"openalex":"https://openalex.org/W3085082021","doi":"https://doi.org/10.1007/s11083-019-09516-0","mag":"3085082021"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-019-09516-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-019-09516-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09516-0.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09516-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090989020","display_name":"Hiroshi Hirai","orcid":"https://orcid.org/0000-0002-4784-5110"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Hirai","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyoku, Tokyo, Japan","Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyoku, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyoku, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyoku, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047148891","display_name":"So Nakashima","orcid":"https://orcid.org/0000-0002-5287-7475"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"So Nakashima","raw_affiliation_strings":["Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyoku, Tokyo, Japan","Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyoku, Japan"],"raw_orcid":"https://orcid.org/0000-0002-5287-7475","affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1, Hongo, Bunkyoku, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, Bunkyoku, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047148891"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.289,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63547519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":"37","issue":"3","first_page":"479","last_page":"507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9941999912261963,"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/semilattice","display_name":"Semilattice","score":0.9649217128753662},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7727291584014893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7643102407455444},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6413442492485046},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.503485381603241},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.4868015944957733},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"Representation theorem","score":0.4794667959213257},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.47848576307296753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4220377206802368},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.41699185967445374},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37422260642051697},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3115943670272827},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.28812000155448914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18181884288787842}],"concepts":[{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.9649217128753662},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7727291584014893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7643102407455444},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6413442492485046},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.503485381603241},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.4868015944957733},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.4794667959213257},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.47848576307296753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4220377206802368},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.41699185967445374},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37422260642051697},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3115943670272827},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.28812000155448914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18181884288787842},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-019-09516-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-019-09516-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09516-0.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11083-019-09516-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-019-09516-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-019-09516-0.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":false},"content_urls":{"grobid_xml":"https://content.openalex.org/works/W3085082021.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W43919218","https://openalex.org/W106642128","https://openalex.org/W147723608","https://openalex.org/W1522351268","https://openalex.org/W1533712308","https://openalex.org/W1576820654","https://openalex.org/W1646601689","https://openalex.org/W1866396423","https://openalex.org/W1873174914","https://openalex.org/W1877564947","https://openalex.org/W1930126570","https://openalex.org/W1964957373","https://openalex.org/W1978292808","https://openalex.org/W1988089083","https://openalex.org/W1991052229","https://openalex.org/W2011215073","https://openalex.org/W2012644520","https://openalex.org/W2023648368","https://openalex.org/W2025581723","https://openalex.org/W2050835751","https://openalex.org/W2053552665","https://openalex.org/W2062185175","https://openalex.org/W2072284346","https://openalex.org/W2082363232","https://openalex.org/W2091887239","https://openalex.org/W2115822498","https://openalex.org/W2282196733","https://openalex.org/W2480301421","https://openalex.org/W2612493850","https://openalex.org/W2730131851","https://openalex.org/W2950298732","https://openalex.org/W2962787199","https://openalex.org/W2962817959","https://openalex.org/W2963059622","https://openalex.org/W2963955169","https://openalex.org/W2964051254","https://openalex.org/W3125756447","https://openalex.org/W4233363601","https://openalex.org/W4293176479","https://openalex.org/W6609905490"],"related_works":["https://openalex.org/W4301060432","https://openalex.org/W2170242232","https://openalex.org/W3021298009","https://openalex.org/W2597463523","https://openalex.org/W4287323573","https://openalex.org/W2962997253","https://openalex.org/W2120771161","https://openalex.org/W2019118526","https://openalex.org/W2065419114","https://openalex.org/W3013479639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}