{"title":"不可还原二项式迭代的一元性","authors":"Himanshu Sharma, Ritumoni Sarma, Shanta Laishram","doi":"10.1080/00927872.2024.2356250","DOIUrl":null,"url":null,"abstract":"One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is Z[θ] for some θ∈K ; a field for which the answer to this quest...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"68 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monogenity of iterates of irreducible binomials\",\"authors\":\"Himanshu Sharma, Ritumoni Sarma, Shanta Laishram\",\"doi\":\"10.1080/00927872.2024.2356250\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is Z[θ] for some θ∈K ; a field for which the answer to this quest...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"68 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2356250\",\"RegionNum\":3,\"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":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2356250","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
代数数论最古老的问题之一是找到一种方法，以确定对于某个 θ∈K 的数域 K 的整数环是否为 Z[θ]；对于一个数域，这个问题的答案是...
One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is Z[θ] for some θ∈K ; a field for which the answer to this quest...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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