Artem Lopatin, Carlos Arturo Rodriguez Palma, Liming Tang
{"title":"韦尔代数的小度弱多项式等式","authors":"Artem Lopatin, Carlos Arturo Rodriguez Palma, Liming Tang","doi":"10.46298/cm.13107","DOIUrl":null,"url":null,"abstract":"In this paper we investigate weak polynomial identities for the Weyl algebra\n$\\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we\ndescribe weak polynomial identities of the minimal degree, which is three, and\nof degrees 4 and 5. We also describe weak polynomial identities is two\nvariables.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":"49 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak polynomial identities of small degree for the Weyl algebra\",\"authors\":\"Artem Lopatin, Carlos Arturo Rodriguez Palma, Liming Tang\",\"doi\":\"10.46298/cm.13107\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we investigate weak polynomial identities for the Weyl algebra\\n$\\\\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we\\ndescribe weak polynomial identities of the minimal degree, which is three, and\\nof degrees 4 and 5. We also describe weak polynomial identities is two\\nvariables.\",\"PeriodicalId\":37836,\"journal\":{\"name\":\"Communications in Mathematics\",\"volume\":\"49 3\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/cm.13107\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.13107","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Weak polynomial identities of small degree for the Weyl algebra
In this paper we investigate weak polynomial identities for the Weyl algebra
$\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we
describe weak polynomial identities of the minimal degree, which is three, and
of degrees 4 and 5. We also describe weak polynomial identities is two
variables.
期刊介绍:
Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.