{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s0219498825502093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0219498825502093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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.