{"title":"THE GROUPS OF PRIME POWER ORDER AND THE STRUCTURE OF HOPF ALGEBRAS","authors":"Bashayer M. Alyoubi, M. Al-shomrani","doi":"10.17654/nt051020145","DOIUrl":"https://doi.org/10.17654/nt051020145","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"24 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91188686","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":"SUMS OF POWERS WITH Fk NUMBERS","authors":"A. Srdanov, N. Kovačević","doi":"10.17654/nt051010077","DOIUrl":"https://doi.org/10.17654/nt051010077","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"38 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76238980","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":"ITERATIVE ALGORITHMS FOR THE SYMMETRIC AND LEAST-SQUARES SYMMETRIC SOLUTION OF A TENSOR EQUATION","authors":"Qun-Hui Meng, Yuzhu Xie","doi":"10.17654/NT050020179","DOIUrl":"https://doi.org/10.17654/NT050020179","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"32 1","pages":"179-212"},"PeriodicalIF":0.1,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85689375","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 RELATIVE TRACE FORMULA BETWEEN THE GENERAL LINEAR AND THE METAPLECTIC GROUP II: DESCENT","authors":"Cesar Valverde","doi":"10.17654/NT050020113","DOIUrl":"https://doi.org/10.17654/NT050020113","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"119 1","pages":"113-136"},"PeriodicalIF":0.1,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80351200","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}
F. Hörmann, Antonella Perucca, Pietro Sgobba, S. Tronto
LetK be a quadratic number field and let α ∈ K. We present an explicit finite procedure to compute at once all Kummer degrees [K(ζm, n √ α) : K(ζm)] for n,m > 1 with n | m, where ζm denotes a primitive m-th root of unity. We can also replace α by any finitely generated subgroup of K×.
{"title":"EXPLICIT KUMMER THEORY FOR QUADRATIC FIELDS","authors":"F. Hörmann, Antonella Perucca, Pietro Sgobba, S. Tronto","doi":"10.17654/NT050020151","DOIUrl":"https://doi.org/10.17654/NT050020151","url":null,"abstract":"LetK be a quadratic number field and let α ∈ K. We present an explicit finite procedure to compute at once all Kummer degrees [K(ζm, n √ α) : K(ζm)] for n,m > 1 with n | m, where ζm denotes a primitive m-th root of unity. We can also replace α by any finitely generated subgroup of K×.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"1 1","pages":"151-178"},"PeriodicalIF":0.1,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87427844","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":"2-PRIME IDEALS AND 2-PRIME RINGS","authors":"H. Kim","doi":"10.17654/NT050020137","DOIUrl":"https://doi.org/10.17654/NT050020137","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"99 1","pages":"137-149"},"PeriodicalIF":0.1,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81199156","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":"COMPLEMENTATION OF A GAMMA SEMIRING","authors":"T. R. Sharma, Shweta Gupta","doi":"10.17654/NT050020101","DOIUrl":"https://doi.org/10.17654/NT050020101","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"10 1","pages":"101-112"},"PeriodicalIF":0.1,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81913032","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}
Pub Date : 2021-04-10DOI: 10.18642/jantaa_7100122178
P. Rowley, L. Walker
The disc structure of the point-line collinearity graph for the maximal 2-local geometry associated with the largest simple Fischer group is investigated. For an arbitrary vertex of this graph the first three discs are determined. Additionally a fragment of the fourth disc is uncovered.
{"title":"The Point-Line Collinearity Graph of the Maximal 2-Local Geometry – the First Three Discs","authors":"P. Rowley, L. Walker","doi":"10.18642/jantaa_7100122178","DOIUrl":"https://doi.org/10.18642/jantaa_7100122178","url":null,"abstract":"The disc structure of the point-line collinearity graph for the maximal 2-local geometry associated with the largest simple Fischer group is investigated. For an arbitrary vertex of this graph the first three discs are determined. Additionally a fragment of the fourth disc is uncovered.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"39 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87454446","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}
Pub Date : 2021-04-10DOI: 10.18642/jantaa_7100122189
Zdzislaw Trukszyn, Ryszard Palka
This paper presents formulas (together with their proofs) determining 3 and 4 part partitions of any integer. These formulas were derived using the properties of the floor function and Bernoulli formulas for various powers of finite sums of the floor function series. This made it possible to obtain above formulas in a much simpler way than most traditional methods.
{"title":"k Part Partitions of Integers","authors":"Zdzislaw Trukszyn, Ryszard Palka","doi":"10.18642/jantaa_7100122189","DOIUrl":"https://doi.org/10.18642/jantaa_7100122189","url":null,"abstract":"This paper presents formulas (together with their proofs) determining 3 and 4 part partitions of any integer. These formulas were derived using the properties of the floor function and Bernoulli formulas for various powers of finite sums of the floor function series. This made it possible to obtain above formulas in a much simpler way than most traditional methods.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"83 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80706573","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 CONGRUENCE PROPERTY OF FOURIER COEFFICIENTS FOR MODULAR FORMS","authors":"Laurent Djerassem, D. Tieudjo, Marcel Tonga","doi":"10.17654/NT050010001","DOIUrl":"https://doi.org/10.17654/NT050010001","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"53 1","pages":"1-17"},"PeriodicalIF":0.1,"publicationDate":"2021-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77793961","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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