{"id":"https://openalex.org/W4400040797","doi":"https://doi.org/10.3390/axioms13070429","title":"Monogenity and Power Integral Bases: Recent Developments","display_name":"Monogenity and Power Integral Bases: Recent Developments","publication_year":2024,"publication_date":"2024-06-26","ids":{"openalex":"https://openalex.org/W4400040797","doi":"https://doi.org/10.3390/axioms13070429"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13070429","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070429","pdf_url":"https://www.mdpi.com/2075-1680/13/7/429/pdf?version=1719393172","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/2075-1680/13/7/429/pdf?version=1719393172","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048968726","display_name":"Istv\u00e1n Ga\u00e1l","orcid":"https://orcid.org/0000-0002-8266-9570"},"institutions":[{"id":"https://openalex.org/I132735039","display_name":"University of Debrecen","ror":"https://ror.org/02xf66n48","country_code":"HU","type":"education","lineage":["https://openalex.org/I132735039"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Istv\u00e1n Ga\u00e1l","raw_affiliation_strings":["Mathematical Institute, University of Debrecen, Pf.400, H-4002 Debrecen, Hungary","Mathematical Institute, University of Debrecen, Pf.400., H-4002 Debrecen, Hungary"],"raw_orcid":"https://orcid.org/0000-0002-8266-9570","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Debrecen, Pf.400, H-4002 Debrecen, Hungary","institution_ids":["https://openalex.org/I132735039"]},{"raw_affiliation_string":"Mathematical Institute, University of Debrecen, Pf.400., H-4002 Debrecen, Hungary","institution_ids":["https://openalex.org/I132735039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048968726"],"corresponding_institution_ids":["https://openalex.org/I132735039"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.1647,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87354835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"13","issue":"7","first_page":"429","last_page":"429"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.4345000088214874,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.4345000088214874,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.3774000108242035,"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/power","display_name":"Power (physics)","score":0.5315983295440674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3454342484474182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33223700523376465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1846117079257965},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.055353522300720215}],"concepts":[{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5315983295440674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3454342484474182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33223700523376465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1846117079257965},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.055353522300720215}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13070429","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070429","pdf_url":"https://www.mdpi.com/2075-1680/13/7/429/pdf?version=1719393172","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:d4231dd6a1734f99bae8ffa7b856cb8c","is_oa":true,"landing_page_url":"https://doaj.org/article/d4231dd6a1734f99bae8ffa7b856cb8c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 7, p 429 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13070429","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070429","pdf_url":"https://www.mdpi.com/2075-1680/13/7/429/pdf?version=1719393172","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/W4400040797.pdf"},"referenced_works_count":123,"referenced_works":["https://openalex.org/W1072385747","https://openalex.org/W1496801598","https://openalex.org/W1501162952","https://openalex.org/W1587781051","https://openalex.org/W1929235452","https://openalex.org/W1975032694","https://openalex.org/W1976677460","https://openalex.org/W1986146461","https://openalex.org/W1987180310","https://openalex.org/W1994112648","https://openalex.org/W2001227948","https://openalex.org/W2001562702","https://openalex.org/W2052819372","https://openalex.org/W2089486239","https://openalex.org/W2105684831","https://openalex.org/W2105823432","https://openalex.org/W2139607673","https://openalex.org/W2275817839","https://openalex.org/W2325709284","https://openalex.org/W2400430677","https://openalex.org/W2484340437","https://openalex.org/W2553782807","https://openalex.org/W2572677515","https://openalex.org/W2618142043","https://openalex.org/W2795462583","https://openalex.org/W2801005758","https://openalex.org/W2890530953","https://openalex.org/W2901889628","https://openalex.org/W2913623411","https://openalex.org/W2962731197","https://openalex.org/W2963905679","https://openalex.org/W2969974133","https://openalex.org/W2972642051","https://openalex.org/W2982559146","https://openalex.org/W2993862772","https://openalex.org/W3006275184","https://openalex.org/W3046095858","https://openalex.org/W3049660590","https://openalex.org/W3089470729","https://openalex.org/W3093152582","https://openalex.org/W3093998215","https://openalex.org/W3094615934","https://openalex.org/W3113817483","https://openalex.org/W3119254330","https://openalex.org/W3123687488","https://openalex.org/W3133485984","https://openalex.org/W3134606698","https://openalex.org/W3160192029","https://openalex.org/W3160720565","https://openalex.org/W3168113932","https://openalex.org/W3171434944","https://openalex.org/W3175346606","https://openalex.org/W3175953741","https://openalex.org/W3180523567","https://openalex.org/W3184812933","https://openalex.org/W3185289571","https://openalex.org/W3188882553","https://openalex.org/W3197188272","https://openalex.org/W3200203317","https://openalex.org/W3201541924","https://openalex.org/W3202351654","https://openalex.org/W3204697612","https://openalex.org/W3206386540","https://openalex.org/W3210951351","https://openalex.org/W3212529742","https://openalex.org/W3214280218","https://openalex.org/W4206349100","https://openalex.org/W4207027284","https://openalex.org/W4207048390","https://openalex.org/W4207083635","https://openalex.org/W4210767967","https://openalex.org/W4210985478","https://openalex.org/W4214917253","https://openalex.org/W4220669126","https://openalex.org/W4221010395","https://openalex.org/W4224943364","https://openalex.org/W4224983150","https://openalex.org/W4226376135","https://openalex.org/W4247582351","https://openalex.org/W4281668466","https://openalex.org/W4283791759","https://openalex.org/W4284974856","https://openalex.org/W4288471745","https://openalex.org/W4295260924","https://openalex.org/W4295406816","https://openalex.org/W4307280152","https://openalex.org/W4308312686","https://openalex.org/W4309947069","https://openalex.org/W4311083353","https://openalex.org/W4312748372","https://openalex.org/W4313302910","https://openalex.org/W4313410303","https://openalex.org/W4313592526","https://openalex.org/W4315705392","https://openalex.org/W4317488956","https://openalex.org/W4321455551","https://openalex.org/W4322620964","https://openalex.org/W4323317694","https://openalex.org/W4323356266","https://openalex.org/W4376056398","https://openalex.org/W4377224568","https://openalex.org/W4380682659","https://openalex.org/W4385079459","https://openalex.org/W4385430332","https://openalex.org/W4385578192","https://openalex.org/W4386370752","https://openalex.org/W4386687679","https://openalex.org/W4386763281","https://openalex.org/W4387298518","https://openalex.org/W4387298556","https://openalex.org/W4387320431","https://openalex.org/W4387410130","https://openalex.org/W4387617500","https://openalex.org/W4387984098","https://openalex.org/W4389817712","https://openalex.org/W4403341107","https://openalex.org/W6797188628","https://openalex.org/W6801286024","https://openalex.org/W6802232265","https://openalex.org/W6809601851","https://openalex.org/W6810253731","https://openalex.org/W6842574297","https://openalex.org/W6850441541"],"related_works":["https://openalex.org/W2748952813","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/W2600246793"],"abstract_inverted_index":{"Monogenity":[0],"is":[1,72],"a":[2,37,51],"classical":[3],"area":[4],"of":[5,30,39,53,61,66],"algebraic":[6],"number":[7],"theory":[8],"that":[9],"continues":[10],"to":[11],"be":[12],"actively":[13],"researched.":[14],"This":[15],"paper":[16],"collects":[17],"the":[18,22,31,54],"results":[19,33],"obtained":[20],"over":[21],"past":[23],"few":[24],"years":[25],"in":[26,59],"this":[27],"area.":[28],"Several":[29],"listed":[32],"were":[34],"presented":[35],"at":[36],"series":[38],"online":[40],"conferences":[41],"titled":[42],"\u201cMonogenity":[43],"and":[44],"Power":[45],"Integral":[46],"Bases\u201d.":[47],"We":[48],"also":[49,73],"give":[50],"collection":[52],"most":[55],"important":[56],"methods":[57],"used":[58],"several":[60],"these":[62],"papers.":[63],"A":[64],"list":[65],"open":[67],"problems":[68],"for":[69],"further":[70],"research":[71],"given.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}