{"id":"https://openalex.org/W4408937551","doi":"https://doi.org/10.3390/axioms14040257","title":"On the Equational Theory of Lattice-Based Algebras for Layered Graphs","display_name":"On the Equational Theory of Lattice-Based Algebras for Layered Graphs","publication_year":2025,"publication_date":"2025-03-28","ids":{"openalex":"https://openalex.org/W4408937551","doi":"https://doi.org/10.3390/axioms14040257"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040257","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040257","pdf_url":"https://www.mdpi.com/2075-1680/14/4/257/pdf?version=1743168837","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/4/257/pdf?version=1743168837","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054194140","display_name":"Zhe Yu","orcid":"https://orcid.org/0000-0002-8763-4473"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Yu","raw_affiliation_strings":["Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065473332","display_name":"Hao Zhan","orcid":"https://orcid.org/0000-0003-0469-3716"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Zhan","raw_affiliation_strings":["Department of Philosophy, Xiamen University, Xiamen 361005, China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Xiamen University, Xiamen 361005, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100659815","display_name":"Yiheng Wang","orcid":"https://orcid.org/0000-0002-5975-2333"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiheng Wang","raw_affiliation_strings":["Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou 510275, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101941148","display_name":"Zhe Lin","orcid":"https://orcid.org/0000-0002-3828-8754"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhe Lin","raw_affiliation_strings":["Department of Philosophy, Xiamen University, Xiamen 361005, China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Xiamen University, Xiamen 361005, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101553853","display_name":"Fei Liang","orcid":"https://orcid.org/0009-0006-3197-1565"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fei Liang","raw_affiliation_strings":["School of Philosophy and Social Development, Institute of Concept and Reasoning, Shandong University, Jinan 250061, China"],"affiliations":[{"raw_affiliation_string":"School of Philosophy and Social Development, Institute of Concept and Reasoning, Shandong University, Jinan 250061, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101553853","https://openalex.org/A5101941148"],"corresponding_institution_ids":["https://openalex.org/I154099455","https://openalex.org/I191208505"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07966907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"4","first_page":"257","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9505000114440918,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9505000114440918,"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/T11476","display_name":"Graph theory and applications","score":0.9491000175476074,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9354000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5364366769790649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5045863389968872},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3964195251464844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3664165735244751},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2347981035709381}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5364366769790649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5045863389968872},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3964195251464844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3664165735244751},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2347981035709381},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040257","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040257","pdf_url":"https://www.mdpi.com/2075-1680/14/4/257/pdf?version=1743168837","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e7b37389e10649a99211cdc01f392fb9","is_oa":true,"landing_page_url":"https://doaj.org/article/e7b37389e10649a99211cdc01f392fb9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 257 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040257","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040257","pdf_url":"https://www.mdpi.com/2075-1680/14/4/257/pdf?version=1743168837","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408937551.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W375015757","https://openalex.org/W1953089651","https://openalex.org/W1996712532","https://openalex.org/W2023695988","https://openalex.org/W2065137642","https://openalex.org/W2076945216","https://openalex.org/W2084171043","https://openalex.org/W2098479118","https://openalex.org/W2135206833","https://openalex.org/W2150146971","https://openalex.org/W2297035263","https://openalex.org/W2328580899","https://openalex.org/W2397996385","https://openalex.org/W2475588791","https://openalex.org/W2741796900","https://openalex.org/W2911865844","https://openalex.org/W2964602117","https://openalex.org/W4301488822","https://openalex.org/W4387682754","https://openalex.org/W4405854038","https://openalex.org/W6679702540"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Layered":[0,10],"algebras":[1,57],"are":[2,12],"introduced":[3],"and":[4,27,38,58],"used":[5],"to":[6,14,21,33],"express":[7],"layered":[8],"graphs.":[9],"graphs":[11],"considered":[13],"be":[15],"a":[16,69],"highly":[17],"effective":[18],"abstract":[19],"tool":[20],"manage":[22],"the":[23,44,49],"difficulty":[24],"in":[25,35,41],"conceptualizing":[26],"reasoning":[28],"regarding":[29],"complex":[30],"systems":[31],"related":[32],"coding":[34],"email":[36],"exchange":[37],"access":[39],"control":[40],"security.":[42],"In":[43],"present":[45],"paper,":[46],"we":[47],"study":[48],"varieties":[50,63],"of":[51,54],"several":[52],"classes":[53],"lattice-based":[55],"layer":[56],"show":[59],"that":[60],"all":[61],"these":[62],"have":[64],"decidable":[65],"equational":[66],"theory":[67],"via":[68],"finite":[70],"model":[71],"property.":[72]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
