{"id":"https://openalex.org/W2059300237","doi":"https://doi.org/10.1007/s11083-013-9287-3","title":"Lattice-Ordered Matrix Rings Over Totally Ordered Rings","display_name":"Lattice-Ordered Matrix Rings Over Totally Ordered Rings","publication_year":2013,"publication_date":"2013-03-08","ids":{"openalex":"https://openalex.org/W2059300237","doi":"https://doi.org/10.1007/s11083-013-9287-3","mag":"2059300237"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-013-9287-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-013-9287-3","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085014498","display_name":"Jingjing Ma","orcid":"https://orcid.org/0000-0002-5141-986X"},"institutions":[{"id":"https://openalex.org/I52913039","display_name":"University of Houston - Clear Lake","ror":"https://ror.org/01t817z14","country_code":"US","type":"education","lineage":["https://openalex.org/I52913039"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jingjing Ma","raw_affiliation_strings":["Department of Mathematics, University of Houston-Clear Lake, 2700 Bay Area Boulevard, Houston, TX, 77058, USA","University of Houston  Clear Lake"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston-Clear Lake, 2700 Bay Area Boulevard, Houston, TX, 77058, USA","institution_ids":["https://openalex.org/I52913039"]},{"raw_affiliation_string":"University of Houston  Clear Lake","institution_ids":["https://openalex.org/I52913039"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102825098","display_name":"Yuehui Zhang","orcid":"https://orcid.org/0000-0001-5257-1671"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuehui Zhang","raw_affiliation_strings":["Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China","Shanghai Jiao Tong Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong Univ","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085014498"],"corresponding_institution_ids":["https://openalex.org/I52913039"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14270247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"1","first_page":"45","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9684000015258789,"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/mathematics","display_name":"Mathematics","score":0.8049390912055969},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.7031819224357605},{"id":"https://openalex.org/keywords/identity-matrix","display_name":"Identity matrix","score":0.6001709699630737},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.571089506149292},{"id":"https://openalex.org/keywords/matrix-ring","display_name":"Matrix ring","score":0.5530673265457153},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5004191398620605},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4362734854221344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4349893033504486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32416313886642456},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.23056021332740784},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.2083325982093811},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11290556192398071},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10828402638435364},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10720175504684448},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06706032156944275}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8049390912055969},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.7031819224357605},{"id":"https://openalex.org/C134567657","wikidata":"https://www.wikidata.org/wiki/Q193794","display_name":"Identity matrix","level":3,"score":0.6001709699630737},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.571089506149292},{"id":"https://openalex.org/C56553554","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix ring","level":3,"score":0.5530673265457153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5004191398620605},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4362734854221344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4349893033504486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32416313886642456},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.23056021332740784},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.2083325982093811},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11290556192398071},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10828402638435364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10720175504684448},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06706032156944275},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-013-9287-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-013-9287-3","pdf_url":null,"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W565649948","https://openalex.org/W1551112541","https://openalex.org/W1570892615","https://openalex.org/W1992615706","https://openalex.org/W2002056204","https://openalex.org/W2006674612","https://openalex.org/W2026902553","https://openalex.org/W2064801335","https://openalex.org/W2067520529","https://openalex.org/W2070854448","https://openalex.org/W2097290257","https://openalex.org/W2168389839","https://openalex.org/W4255550729","https://openalex.org/W6825479521"],"related_works":["https://openalex.org/W2109685985","https://openalex.org/W2952613304","https://openalex.org/W2003968304","https://openalex.org/W2071660982","https://openalex.org/W4205310075","https://openalex.org/W2002056204","https://openalex.org/W3136322335","https://openalex.org/W2095771800","https://openalex.org/W2801033385","https://openalex.org/W2385206495"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
