Jordan left derivations in infinite matrix rings

• Autorzy: Zhang Daochang , Ma Leiming , Hu Jianping , Sun Chaochao

Identyfikatory

DOI

10.1515/dema-2023-0150

• Języki publikacji: EN

Abstrakty

EN

Let R be a unital associative ring. Our motivation is to prove that left derivations in column finite matrix rings over R are equal to zero and demonstrate that a left derivation d:T→T in the infinite upper triangular matrix ring T is determined by left derivations dj in R(j=1,2,…) satisfying […] for any […], where [formula]. The similar results about Jordan left derivations are also obtained when R is 2-torsion free.

Słowa kluczowe

EN

left derivations; Jordan left derivations; column finite matrix rings; infinite upper triangular matrix rings

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230150
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Zhang Daochang

• College of Sciences, Northeast Electric Power University, Jilin 132012, China

autor

Ma Leiming

• College of Sciences, Northeast Electric Power University, Jilin 132012, China

autor

Hu Jianping

• College of Sciences, Northeast Electric Power University, Jilin 132012, China

autor

Sun Chaochao

• School of Mathematics and Statistics, Linyi University, Linyi 276005, China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).