Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Joso Vukman"'
Autor:
Irena Kosi-Ulbl, Joso Vukman
Publikováno v:
Cubo, Vol 12, Iss 1, Pp 95-102 (2010)
In this paper we prove the following result. Let X be a real or complex Banach space, let L (X) be the algebra of all bounded linear operators on X, and let be a standard operator algebra. Suppose is a linear mapping satisfying the relation . In this
Externí odkaz:
https://doaj.org/article/6d14838c1e8a4d3182ec4ed7eae8ab44
Autor:
Joso Vukman
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 7, Pp 1031-1038 (2005)
The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutativ
Externí odkaz:
https://doaj.org/article/1d8c93f4311a445c943fae696afcadb2
Autor:
Joso Vukman, Irena Kosi-Ulbl
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 20, Pp 3347-3350 (2005)
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all
Externí odkaz:
https://doaj.org/article/bb06b71826694554bb039e9a1dcb2c73
Autor:
Joso Vukman, Irena Kosi-Ulbl
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 17, Pp 2703-2710 (2005)
Let m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring with identity element. Suppose there exists an additive mapping D:R→R, such that D(xm+n+1)=(m+n+1)xmD(x)xn is fulfilled for all x∈R, then D is a d
Externí odkaz:
https://doaj.org/article/2ed26e41cb2341d5b9a1302a2840c40e
Autor:
Joso Vukman, Irena Kosi-Ulbl
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 54, Pp 2895-2906 (2004)
Externí odkaz:
https://doaj.org/article/8380bec31111443aa807e7471601e083
Publikováno v:
Communications in Algebra. 51:1020-1027
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2fcb3d4ad3e4a8c4aa0ef393dde3dec
https://doi.org/10.1080/00927872.2022.2120616
https://doi.org/10.1080/00927872.2022.2120616
Publikováno v:
Periodica Mathematica Hungarica. 86:538-551
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77a25c4c147d977cbced6ceb8817b969
https://doi.org/10.1007/s10998-022-00489-z
https://doi.org/10.1007/s10998-022-00489-z
Autor:
Irena Kosi-Ulbl, Joso Vukman
Publikováno v:
Publicationes Mathematicae Debrecen. 100:427-434
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e499a097139c3f0e08a87bc1b7fa3e9
https://doi.org/10.5486/pmd.2022.9170
https://doi.org/10.5486/pmd.2022.9170
Publikováno v:
Open Mathematics. 20:140-152
The purpose of this paper is to prove the following result. Let R R be prime ring of characteristic different from two and three, and let F : R → R F:R\to R be an additive mapping satisfying the relation F ( x 3 ) = F ( x 2 ) x − x F ( x ) x + x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b095487e447c259030233ad925926258
https://doi.org/10.1515/math-2022-0002
https://doi.org/10.1515/math-2022-0002
Publikováno v:
Monatshefte für Mathematik. 195:675-685
Let X be a real or complex Banach space, let $${\mathcal {A}}$$ be a standard operator algebra on X, let n be a positive integer, and let $$D:{\mathcal {A}}\rightarrow {\mathcal {L}} (X)$$ be a linear mapping such that the equality $$D(A^{2n})=D(A^n)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1194c77d1328ec7f69cfd806238c783c
https://doi.org/10.1007/s00605-021-01596-8
https://doi.org/10.1007/s00605-021-01596-8