{"title":"三角代数上的乘法李偏导","authors":"M. Ashraf, A. Jabeen, Musheer Ahmad","doi":"10.47743/anstim.2022.00011","DOIUrl":null,"url":null,"abstract":"Let U be a triangular algebra. Under certain assumptions, we show that every multiplicative Lie σ -derivation L : U → U is of the form δ + τ, where δ is an additive σ -derivation on U and τ is a map from U to its center Z σ ( U ) that vanishes on Lie product. As an application, we study the multiplicative Lie σ -derivation on nest algebras and block upper triangular matrix algebras.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multiplicative Lie skew derivations on triangular algebras\",\"authors\":\"M. Ashraf, A. Jabeen, Musheer Ahmad\",\"doi\":\"10.47743/anstim.2022.00011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let U be a triangular algebra. Under certain assumptions, we show that every multiplicative Lie σ -derivation L : U → U is of the form δ + τ, where δ is an additive σ -derivation on U and τ is a map from U to its center Z σ ( U ) that vanishes on Lie product. As an application, we study the multiplicative Lie σ -derivation on nest algebras and block upper triangular matrix algebras.\",\"PeriodicalId\":55523,\"journal\":{\"name\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47743/anstim.2022.00011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47743/anstim.2022.00011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Multiplicative Lie skew derivations on triangular algebras
Let U be a triangular algebra. Under certain assumptions, we show that every multiplicative Lie σ -derivation L : U → U is of the form δ + τ, where δ is an additive σ -derivation on U and τ is a map from U to its center Z σ ( U ) that vanishes on Lie product. As an application, we study the multiplicative Lie σ -derivation on nest algebras and block upper triangular matrix algebras.
期刊介绍:
This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.