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MUTATION AS METRIC ON PERMUTATION GROUP Sn 置换群Sn上作为度量的突变
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-11-06 DOI: 10.17654/0972555523026
Kodjo Essonana Magnani
{"title":"MUTATION AS METRIC ON PERMUTATION GROUP Sn","authors":"Kodjo Essonana Magnani","doi":"10.17654/0972555523026","DOIUrl":"https://doi.org/10.17654/0972555523026","url":null,"abstract":"Mutation of permutations corresponds to flip of triangulations. We give, in this article, an interpretation of mutation as a metric on the permutation group $S_n$. Using this metric, we characterize a class of permutations called singular permutations. We also establish a connection with Cayley graphs in the sense of its automorphism group. Received: July 17, 2023Revised: September 20, 2023Accepted: October 18, 2023","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"12 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135634368","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}
引用次数: 0
NOTE ON THE CLASS NUMBER OF IMAGINARY QUADRATIC NUMBER FIELDS AND SOPHIE GERMAIN PRIMES 关于虚二次数域的类数和苏菲日耳曼素数的注意事项
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-11-06 DOI: 10.17654/0972555523027
Anly Li
{"title":"NOTE ON THE CLASS NUMBER OF IMAGINARY QUADRATIC NUMBER FIELDS AND SOPHIE GERMAIN PRIMES","authors":"Anly Li","doi":"10.17654/0972555523027","DOIUrl":"https://doi.org/10.17654/0972555523027","url":null,"abstract":"Let $p>2$ be a Sophie Germain prime which means that $q=2 p+1$ is also a prime. Let $K=mathbb{Q}(sqrt{-q})$ and denote its ideal class number by $h_K$. We use Kummer congruences and Bernoulli numbers to study the relation between $p$ and $h_K$. We prove that $-h_K equiv k cdot p(bmod q)$ for some positive integer $k$. Received: August 29, 2023Accepted: October 7, 2023","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135636237","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}
引用次数: 0
IMPLEMENTATION OF EXTENDED GENERALIZED FIBONACCI MATRICES AS A KEY IN MODIFIED ELLIPTIC CURVE CRYPTOGRAPHY 扩展广义斐波那契矩阵在修正椭圆曲线密码中的密钥实现
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-10-27 DOI: 10.17654/0972555523025
Vaishali Billore, Naresh Patel, Hemant Makwana
{"title":"IMPLEMENTATION OF EXTENDED GENERALIZED FIBONACCI MATRICES AS A KEY IN MODIFIED ELLIPTIC CURVE CRYPTOGRAPHY","authors":"Vaishali Billore, Naresh Patel, Hemant Makwana","doi":"10.17654/0972555523025","DOIUrl":"https://doi.org/10.17654/0972555523025","url":null,"abstract":"In this paper, we present a modified cryptographic technique based on the use of recursive matrices as the key in ECC and ElGamal. For encryption, we take into account mapping similar to [5] and the ElGamal technique, in which a plaintext matrix is built from points that correspond to the letters on elliptic curves. The extended generalized Fibonacci matrices, which are a sequence of matrices, have been considered in the creation of key space. The consideration of extended generalized Fibonacci matrices is delightful because it  just requires four parameters (integers) as opposed to all of the matrix entries. Our suggested system has a vast key space and is more effective because of the use of a recursive matrix. As a result, it minimizes the complexity of both time and space. Additionally, it is secure and robust since it is based on the challenging number theory issue known as the elliptic curve-discrete logarithm issue. Received: July 4, 2023Revised: September 15, 2023Accepted: September 26, 2023","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"276 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136262582","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}
引用次数: 0
ON ARF CLOSURE OF SOME SYMMETRIC NUMERICAL SEMIGROUPS WITH MULTIPLICITY -PRIME 若干具有多重素数的对称数值半群的arf闭包
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-09-25 DOI: 10.17654/0972555523024
Ahmet Çelik
{"title":"ON ARF CLOSURE OF SOME SYMMETRIC NUMERICAL SEMIGROUPS WITH MULTIPLICITY -PRIME","authors":"Ahmet Çelik","doi":"10.17654/0972555523024","DOIUrl":"https://doi.org/10.17654/0972555523024","url":null,"abstract":"This work is about symmetric numerical semigroups. The symmetric numerical semigroups are very important in semigroup theory. They play an important role especially in algebraic geometry, coding theory and other areas of algebra. Here, we examine Arf closure of $S_q$ symmetric numerical semigroup, and give some relations between $S_q$ and Arf closure $S_q$ such that $S_q=langle p, p q+krangle$, where $p$ is a prime number and $q geq 1, q in mathbb{Z}$ for $k=1,2$ and $p-1$. Received: June 15, 2023Revised: August 1, 2023Accepted: September 12, 2023","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135863889","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}
引用次数: 0
ON A CLASS OF ALGEBRAS SATISFYING AN IDENTITY OF DEGREE FIVE 一类满足五次恒等式的代数
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-09-20 DOI: 10.17654/0972555523023
Aly GUIRO, Abdoulaye DEMBEGA, André CONSEIBO
{"title":"ON A CLASS OF ALGEBRAS SATISFYING AN IDENTITY OF DEGREE FIVE","authors":"Aly GUIRO, Abdoulaye DEMBEGA, André CONSEIBO","doi":"10.17654/0972555523023","DOIUrl":"https://doi.org/10.17654/0972555523023","url":null,"abstract":"In this paper, we study a class of commutative nonassociative algebras satisfying a polynomial identity of degree five. We show that under the assumption of the existence of a nonzero idempotent, any algebra satisfying such an identity admits a Peirce decomposition. Using this decomposition, we study the derivations and representations of algebras of this class. Received: May 6, 2023Revised: May 30, 2023Accepted: July 4, 2023","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"186 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136374900","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}
引用次数: 0
SOME STRUCTURAL PROPERTIES OF THE QUANTIZED MATRIX ALGEBRA 量化矩阵代数的一些结构性质
IF 0.1
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-09-01 DOI: 10.17654/0972555523022
Lina Niu, Rabigul Tuniyaz
{"title":"SOME STRUCTURAL PROPERTIES OF THE QUANTIZED MATRIX ALGEBRA","authors":"Lina Niu, Rabigul Tuniyaz","doi":"10.17654/0972555523022","DOIUrl":"https://doi.org/10.17654/0972555523022","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"79 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79044050","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}
引用次数: 0
ON SOME PROPERTY OF -ADIC FAMILIES OF POTENTIALLY SEMI-STABLE REPRESENTATIONS 潜在半稳定表示的-进族的一些性质
IF 0.1
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-08-28 DOI: 10.17654/0972555523021
A. Yamagami
{"title":"ON SOME PROPERTY OF -ADIC FAMILIES OF POTENTIALLY SEMI-STABLE REPRESENTATIONS","authors":"A. Yamagami","doi":"10.17654/0972555523021","DOIUrl":"https://doi.org/10.17654/0972555523021","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"3 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89084103","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}
引用次数: 0
PARAMETRIZATION OF ALGEBRAIC POINTS OF A FAMILY OF ARNTHJENSEN-FLYNN HYPERELLIPTIC CURVES OF A GIVEN DEGREE 给定次的arnthjensen-flynn超椭圆曲线族代数点的参数化
IF 0.1
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-08-23 DOI: 10.17654/0972555523020
Mohamadou Mor Diogou Diallo, Moussa Fall
{"title":"PARAMETRIZATION OF ALGEBRAIC POINTS OF A FAMILY OF ARNTHJENSEN-FLYNN HYPERELLIPTIC CURVES OF A GIVEN DEGREE","authors":"Mohamadou Mor Diogou Diallo, Moussa Fall","doi":"10.17654/0972555523020","DOIUrl":"https://doi.org/10.17654/0972555523020","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80316027","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}
引用次数: 0
ORDER THEORY IN STRIP FOLDING 条形折叠中的序理论
IF 0.1
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-08-12 DOI: 10.17654/0972555523019
Yiyang Jia, J. Mitani
{"title":"ORDER THEORY IN STRIP FOLDING","authors":"Yiyang Jia, J. Mitani","doi":"10.17654/0972555523019","DOIUrl":"https://doi.org/10.17654/0972555523019","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"117 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73192283","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}
引用次数: 0
TOPOLOGICALLY NOETHERIAN BANACH ALGEBRAS 拓扑noetherian banach代数
IF 0.1
JP Journal of Algebra Number Theory and Applications Pub Date : 2023-07-25 DOI: 10.17654/0972555523018
M. Mabrouk, E. Saeed
{"title":"TOPOLOGICALLY NOETHERIAN BANACH ALGEBRAS","authors":"M. Mabrouk, E. Saeed","doi":"10.17654/0972555523018","DOIUrl":"https://doi.org/10.17654/0972555523018","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"106 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76872105","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}
引用次数: 0
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