{"title":"广义普遍估值的应用","authors":"William Bernardoni","doi":"10.1080/00927872.2024.2369906","DOIUrl":null,"url":null,"abstract":"We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring and show that, wh...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"373 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Applications of generalized universal valuations\",\"authors\":\"William Bernardoni\",\"doi\":\"10.1080/00927872.2024.2369906\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring and show that, wh...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"373 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-29\",\"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/10.1080/00927872.2024.2369906\",\"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/10.1080/00927872.2024.2369906","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring and show that, wh...
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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