- Tytuł:
- Generalized derivations with left annihilator conditions in prime and semiprime rings
- Autorzy:
- Dhara, Basudeb
- Tematy:
-
prime ring
derivation
Lie ideal
generalized derivation
Utumi quotient ring
extended centroid - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Powiązania:
- https://bibliotekanauki.pl/articles/38145608.pdf  Link otwiera się w nowym oknie
- 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.
- Dostawca treści:
- Biblioteka Nauki
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