{"id":"https://openalex.org/W2584180724","doi":"https://doi.org/10.1142/s1793005717500065","title":"Results on Hyper Hoop-Algebras","display_name":"Results on Hyper Hoop-Algebras","publication_year":2017,"publication_date":"2017-01-31","ids":{"openalex":"https://openalex.org/W2584180724","doi":"https://doi.org/10.1142/s1793005717500065","mag":"2584180724"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005717500065","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005717500065","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5072356626","display_name":"R. A. Borzooei","orcid":"https://orcid.org/0000-0001-7538-7885"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"R. A. Borzooei","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013217817","display_name":"Hamid Reza Varasteh","orcid":null},"institutions":[{"id":"https://openalex.org/I181744264","display_name":"Kharazmi University","ror":"https://ror.org/05hsgex59","country_code":"IR","type":"education","lineage":["https://openalex.org/I181744264"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"H. R. Varasteh","raw_affiliation_strings":["Research and Technology Office, Kharazmi University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research and Technology Office, Kharazmi University, Tehran, Iran","institution_ids":["https://openalex.org/I181744264"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052678216","display_name":"Keivan Borna","orcid":"https://orcid.org/0000-0002-2941-6021"},"institutions":[{"id":"https://openalex.org/I181744264","display_name":"Kharazmi University","ror":"https://ror.org/05hsgex59","country_code":"IR","type":"education","lineage":["https://openalex.org/I181744264"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"K. Borna","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Kharazmi University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Kharazmi University, Tehran, Iran","institution_ids":["https://openalex.org/I181744264"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007859169","display_name":"A. Radfar","orcid":"https://orcid.org/0000-0002-2345-4609"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"A. Radfar","raw_affiliation_strings":["Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072356626"],"corresponding_institution_ids":["https://openalex.org/I48379061"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.03288546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"01","first_page":"61","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.986299991607666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.640972375869751},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6047996878623962},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5504117012023926},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5020744800567627},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48435935378074646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08061859011650085}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.640972375869751},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6047996878623962},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5504117012023926},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5020744800567627},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48435935378074646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08061859011650085}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005717500065","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005717500065","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:13:y:2017:i:01:n:s1793005717500065","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005717500065","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W263046251","https://openalex.org/W269873051","https://openalex.org/W438555813","https://openalex.org/W1716788716","https://openalex.org/W1965682580","https://openalex.org/W1972451186","https://openalex.org/W2336314613","https://openalex.org/W2339639871","https://openalex.org/W2601480792","https://openalex.org/W2755421039","https://openalex.org/W2947556356","https://openalex.org/W2995989488","https://openalex.org/W3166997273","https://openalex.org/W4213306433","https://openalex.org/W4214940931","https://openalex.org/W4285086121"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Hoop-algebra":[0],"is":[1,10],"a":[2,33,37,40],"naturally":[3],"ordered":[4],"commutative":[5],"residuated":[6],"integral":[7],"monoids,":[8],"which":[9],"introduced":[11],"by":[12,24],"B.":[13],"Bosbach":[14],"in":[15,21],"Refs.":[16],"7":[17],"and":[18,53,79],"8.":[19],"Now,":[20],"this":[22],"paper,":[23],"considering":[25],"the":[26,48,56],"notion":[27],"of":[28,55],"hyper":[29,43,51,67,71,75,80],"hoop-algebra,":[30],"we":[31,46],"find":[32],"condition":[34],"to":[35],"obtain":[36],"hoop":[38],"from":[39],"finite":[41],"bounded":[42],"hoop-algebra.":[44],"Then":[45],"investigate":[47],"relations":[49],"among":[50],"hoop-algebras":[52],"some":[54],"other":[57],"logical":[58],"(hyper)":[59,63],"algebras":[60],"such":[61],"as":[62],"[Formula:":[64,68,72,76,81],"see":[65,69,73,77,82],"text]-algebras,":[66,70,74],"text]-algebras":[78],"text]-algebras.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
