{"title":"The Mason–Stothers theorem","authors":"Manuel Eberl","doi":"10.1090/mbk/121/69","DOIUrl":null,"url":null,"abstract":"A child learns of the nonnegative numbers at an early age. Polynomials, on the other hand, demand a little more sophistication and are reserved in a U.S. child’s education for middle school. Those fortunate enough to take an undergraduate abstract algebra class realize that the chasm between the integers and polynomials is not so vast. One learns there are similarities: both integers and polynomials form rings; and that there are analogies: the integers have prime factors as their basic building blocks, whereas polynomials (over C) have linear factors. Given this, it is not that surprising that we have the following definitions:","PeriodicalId":423691,"journal":{"name":"100 Years of Math Milestones","volume":"30 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"100 Years of Math Milestones","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/mbk/121/69","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A child learns of the nonnegative numbers at an early age. Polynomials, on the other hand, demand a little more sophistication and are reserved in a U.S. child’s education for middle school. Those fortunate enough to take an undergraduate abstract algebra class realize that the chasm between the integers and polynomials is not so vast. One learns there are similarities: both integers and polynomials form rings; and that there are analogies: the integers have prime factors as their basic building blocks, whereas polynomials (over C) have linear factors. Given this, it is not that surprising that we have the following definitions:
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
