{"title":"广义四元数代数上的多线性多项式图像","authors":"Peter V. Danchev, Truong Huu Dung, Tran Nam Son","doi":"10.1142/s0219498825502093","DOIUrl":null,"url":null,"abstract":"<p>In connection with the work of Malev published in [<i>J. Algebra Appl.</i><b>13</b> (2014) 1450004; <i>J. Algebra Appl.</i><b>20</b> (2021) 2150074], we continue to provide a classification of possible images of multilinear polynomials on generalized quaternion algebras.</p>","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":"50 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Images of multilinear polynomials on generalized quaternion algebras\",\"authors\":\"Peter V. Danchev, Truong Huu Dung, Tran Nam Son\",\"doi\":\"10.1142/s0219498825502093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In connection with the work of Malev published in [<i>J. Algebra Appl.</i><b>13</b> (2014) 1450004; <i>J. Algebra Appl.</i><b>20</b> (2021) 2150074], we continue to provide a classification of possible images of multilinear polynomials on generalized quaternion algebras.</p>\",\"PeriodicalId\":54888,\"journal\":{\"name\":\"Journal of Algebra and Its Applications\",\"volume\":\"50 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra and Its Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s0219498825502093\",\"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":"Journal of Algebra and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0219498825502093","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
结合马列夫发表在[J. Algebra Appl.13 (2014) 1450004; J. Algebra Appl.20 (2021) 2150074]上的工作，我们继续提供广义四元数代数上多线性多项式可能图像的分类。
Images of multilinear polynomials on generalized quaternion algebras
In connection with the work of Malev published in [J. Algebra Appl.13 (2014) 1450004; J. Algebra Appl.20 (2021) 2150074], we continue to provide a classification of possible images of multilinear polynomials on generalized quaternion algebras.
期刊介绍：
The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.
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
