- Tytuł:
- Generalized derivations with left annihilator conditions in prime and semiprime rings
- Autorzy:
- Dhara, Basudeb
- Powiązania:
- https://bibliotekanauki.pl/articles/38145608.pdf
- Data publikacji:
- 2017-12-20
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
prime ring
derivation
Lie ideal
generalized derivation
Utumi quotient ring
extended centroid - Opis:
- Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R. The left annihilator of S ⊆ R is denoted by lR(S) and defined by lR(S) = {x ∈ R| xS = 0}. Suppose that S = {H(un)un +unG(un) | u ∈ L} and T = {H(xn)xn +xnG(xn) | x ∈ I}, where n ≥ 1 is a fixed integer. In the paper, we investigate the cases when the sets lR(S) and lR(T) are nonzero.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 2; 161-175
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł