{"title":"ON THE MONOGENITY OF TOTALLY COMPLEX PURE SEXTIC FIELDS","authors":"István Gaál","doi":"10.17654/0972555523006","DOIUrl":"https://doi.org/10.17654/0972555523006","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"47 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78895838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"BIFILTRATIONS ON A RING AND ASYMPTOTIC σ-PRIME DIVISOR","authors":"K. A. Essan, E. D. Akeke","doi":"10.17654/0972555523005","DOIUrl":"https://doi.org/10.17654/0972555523005","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"46 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86345064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ALGEBRAIC POINTS OF GIVEN DEGREE ON THE AFFINE CURVE C : y2 = x5 + 16","authors":"E. Sow, Moussa Fall, O. Sall","doi":"10.17654/0972555523004","DOIUrl":"https://doi.org/10.17654/0972555523004","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"11 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87235071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we investigate conditions that force regular near-semirings (additive or multiplicative regular near-semirings) to be idempotent (additive idempotent). In addition, we study some kinds of ideals as p-ideals and subtractive ideals in near-semirings and investigate their properties in near-semirings. Finally, we define two congruence relations on a near-semiring, and an additive inverse regular near-semiring, respectively. Then we give constructions of quotient near-semirings induced by congruence relations.
{"title":"REGULARITY AND IDEALS IN NEAR-SEMIRINGS","authors":"U. Leerawat, Benya Setthanarak","doi":"10.17654/0972555523003","DOIUrl":"https://doi.org/10.17654/0972555523003","url":null,"abstract":"In this paper, we investigate conditions that force regular near-semirings (additive or multiplicative regular near-semirings) to be idempotent (additive idempotent). In addition, we study some kinds of ideals as p-ideals and subtractive ideals in near-semirings and investigate their properties in near-semirings. Finally, we define two congruence relations on a near-semiring, and an additive inverse regular near-semiring, respectively. Then we give constructions of quotient near-semirings induced by congruence relations.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"14 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84326358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A FUNDAMENTAL LEMMA BETWEEN THE SYMPLECTIC AND THE METAPLECTIC GROUP: THE NON-SPLIT CASE","authors":"Cesar Valverde","doi":"10.17654/0972555523002","DOIUrl":"https://doi.org/10.17654/0972555523002","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86484877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"COMMUTATIVE JORDAN NILALGEBRAS OF NILINDEX 4 GENERATED BY AT MOST THREE ELEMENTS","authors":"Joseph Bayara","doi":"10.17654/0972555523001","DOIUrl":"https://doi.org/10.17654/0972555523001","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"9 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77293927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"MERSENNE PRIME’S FUNCTION IN ELLIPTIC CURVES AND","authors":"Shin-wook Kim","doi":"10.17654/0972555522038","DOIUrl":"https://doi.org/10.17654/0972555522038","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"12 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88764612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EXTENDING A PUTNAM PROBLEM TO FIELDS OF VARIOUS CHARACTERISTICS","authors":"Mihai Caragiu, Rachael Harbaugh","doi":"10.17654/0972555522037","DOIUrl":"https://doi.org/10.17654/0972555522037","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"49 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74161886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"INVERSE PROBLEMS OF SUBSET SUMS OF ZERO-SUM FREE SET WITH SIX ELEMENTS IN FINITE ABELIAN GROUPS","authors":"Mingrui Wang, Yuting Hu","doi":"10.17654/0972555522036","DOIUrl":"https://doi.org/10.17654/0972555522036","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"346 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74849825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"1-SEPARABLE TORSION FREE MODULES OVER INTEGRAL DOMAINS","authors":"Emily J Cornelius","doi":"10.17654/0972555522035","DOIUrl":"https://doi.org/10.17654/0972555522035","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"2 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83667095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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