费马方程除以2 × 2矩阵

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI:10.4134/BKMS.B200403

M. Chien, Jie Meng

{"title":"费马方程除以2 × 2矩阵","authors":"M. Chien, Jie Meng","doi":"10.4134/BKMS.B200403","DOIUrl":null,"url":null,"abstract":". We study the solvability of the Fermat’s matrix equation in some classes of 2-by-2 matrices. We prove the Fermat’s matrix equation has inﬁnitely many solutions in a set of 2-by-2 positive semideﬁnite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic ﬁeld matrices","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"609-616"},"PeriodicalIF":0.6000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"FERMAT'S EQUATION OVER 2-BY-2 MATRICES\",\"authors\":\"M. Chien, Jie Meng\",\"doi\":\"10.4134/BKMS.B200403\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We study the solvability of the Fermat’s matrix equation in some classes of 2-by-2 matrices. We prove the Fermat’s matrix equation has inﬁnitely many solutions in a set of 2-by-2 positive semideﬁnite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic ﬁeld matrices\",\"PeriodicalId\":55301,\"journal\":{\"name\":\"Bulletin of the Korean Mathematical Society\",\"volume\":\"58 1\",\"pages\":\"609-616\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Korean Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/BKMS.B200403\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Korean Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/BKMS.B200403","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

．研究了费马矩阵方程在某些2 × 2矩阵中的可解性。证明了费马矩阵方程在一组2 × 2正半定积分矩阵中有无穷多个解，在2 × 2对称有理矩阵和随机二次域矩阵中无非平凡解

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

FERMAT'S EQUATION OVER 2-BY-2 MATRICES

. We study the solvability of the Fermat’s matrix equation in some classes of 2-by-2 matrices. We prove the Fermat’s matrix equation has inﬁnitely many solutions in a set of 2-by-2 positive semideﬁnite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic ﬁeld matrices

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).