{"id":"https://openalex.org/W151384678","doi":"https://doi.org/10.3217/jucs-005-09-0552","title":"Some Algebraic Structures with Iteration Lemmata","display_name":"Some Algebraic Structures with Iteration Lemmata","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W151384678","doi":"https://doi.org/10.3217/jucs-005-09-0552","mag":"151384678"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.635.3103","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.3103","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_5_9/some_algebraic_structures_with/Kudlek_M.pdf","raw_type":"text"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.3217/jucs-005-09-0552","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030196617","display_name":"Manfred Kudlek","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Manfred Kudlek","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030196617"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00014347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9200000166893005,"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/T12504","display_name":"Mathematics and Applications","score":0.9200000166893005,"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/computer-science","display_name":"Computer science","score":0.8480957746505737},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5916135907173157},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4779477119445801},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3404061794281006},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33685022592544556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14338573813438416},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10122498869895935}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8480957746505737},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5916135907173157},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4779477119445801},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3404061794281006},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33685022592544556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14338573813438416},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10122498869895935},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.635.3103","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.3103","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_5_9/some_algebraic_structures_with/Kudlek_M.pdf","raw_type":"text"},{"id":"doi:10.3217/jucs-005-09-0552","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-005-09-0552","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.3217/jucs-005-09-0552","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-005-09-0552","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2396142028","https://openalex.org/W105795243","https://openalex.org/W2796517256","https://openalex.org/W2017532027","https://openalex.org/W14085832","https://openalex.org/W1587781051","https://openalex.org/W1588453635","https://openalex.org/W2184863408","https://openalex.org/W1570787829","https://openalex.org/W399280277","https://openalex.org/W2481821895","https://openalex.org/W1995864174","https://openalex.org/W116072453","https://openalex.org/W1521586765","https://openalex.org/W2175003829","https://openalex.org/W2950212473","https://openalex.org/W154930256","https://openalex.org/W1534367765","https://openalex.org/W1990451653","https://openalex.org/W1585165666"],"abstract_inverted_index":{"Abstract:":[0],"This":[1],"paper":[2],"deals":[3],"with":[4],"solutions":[5],"of":[6,12,41],"algebraic,":[7],"linear,":[8],"and":[9,17,33],"rational":[10],"systems":[11],"equations":[13],"over":[14],"an!-complete":[15],"semiring,":[16],"their":[18],"iteration":[19],"lemmata.":[20],"These":[21],"are":[22,50],"guar-anteed":[23],"if":[24],"the":[25],"underlying":[26],"structure":[27],"has":[28],"an":[29],"associative":[30],"multiplicative":[31],"operation,":[32],"its":[34],"elements":[35],"have":[36],"a":[37],"norm.":[38],"A":[39],"number":[40],"such":[42],"structures":[43],"like":[44],"words,":[45],"vectors,":[46],"traces,":[47],"trees,":[48],"graphs,":[49],"presented.":[51]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2016-06-24T00:00:00"}
