{"title":"投影映射t (v)→s (v)的核","authors":"C. Beli","doi":"10.59277/mrar.2023.25.75.2.287","DOIUrl":null,"url":null,"abstract":"If V is a vector space over some field F, then we have the well known exact sequence 0 → Λ2(V ) → T2(V ) → S2(V ) → 0, where the first map is given by x∧y → x⊗y−y⊗x and the second by x⊗y 7→ xy. The obvious generalization, an exact sequence, 0 → Λk(V ) → T","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"3 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2019-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON THE KERNEL OF THE PROJECTION MAP T(V ) → S(V )\",\"authors\":\"C. Beli\",\"doi\":\"10.59277/mrar.2023.25.75.2.287\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"If V is a vector space over some field F, then we have the well known exact sequence 0 → Λ2(V ) → T2(V ) → S2(V ) → 0, where the first map is given by x∧y → x⊗y−y⊗x and the second by x⊗y 7→ xy. The obvious generalization, an exact sequence, 0 → Λk(V ) → T\",\"PeriodicalId\":49858,\"journal\":{\"name\":\"Mathematical Reports\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2019-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Reports\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.59277/mrar.2023.25.75.2.287\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.2.287","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
If V is a vector space over some field F, then we have the well known exact sequence 0 → Λ2(V ) → T2(V ) → S2(V ) → 0, where the first map is given by x∧y → x⊗y−y⊗x and the second by x⊗y 7→ xy. The obvious generalization, an exact sequence, 0 → Λk(V ) → T
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The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.
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