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On functional equations related to bicircular projections

Joso Vukman

Puni tekst: engleski, pdf (161 KB) str. 51-55 preuzimanja: 297* citiraj
APA 6th Edition
Vukman, J. (2006). On functional equations related to bicircular projections. Glasnik matematički, 41 (1), 51-55. Preuzeto s https://hrcak.srce.hr/3297
MLA 8th Edition
Vukman, Joso. "On functional equations related to bicircular projections." Glasnik matematički, vol. 41, br. 1, 2006, str. 51-55. https://hrcak.srce.hr/3297. Citirano 17.10.2021.
Chicago 17th Edition
Vukman, Joso. "On functional equations related to bicircular projections." Glasnik matematički 41, br. 1 (2006): 51-55. https://hrcak.srce.hr/3297
Harvard
Vukman, J. (2006). 'On functional equations related to bicircular projections', Glasnik matematički, 41(1), str. 51-55. Preuzeto s: https://hrcak.srce.hr/3297 (Datum pristupa: 17.10.2021.)
Vancouver
Vukman J. On functional equations related to bicircular projections. Glasnik matematički [Internet]. 2006 [pristupljeno 17.10.2021.];41(1):51-55. Dostupno na: https://hrcak.srce.hr/3297
IEEE
J. Vukman, "On functional equations related to bicircular projections", Glasnik matematički, vol.41, br. 1, str. 51-55, 2006. [Online]. Dostupno na: https://hrcak.srce.hr/3297. [Citirano: 17.10.2021.]

Sažetak
In this paper we prove the following result. Let R be a 2-torsion free semiprime *-ring. Suppose that D, G : R → R are additive mappings satisfying the relations

D(xyx) = D(x)yx + xG(y*)*x + xyD(x), G(xyx) = G(x)yx + xD(y*)*x + xyG(x),

for all pairs x, y ∈ R. In this case D and G are of the form
8D(x) = 2(d(x) + g(x)) + (p + q)x + x(p + q), 8G(x) = 2(d(x) - g(x)) + (q - p)x + x(q - p),

for all x ∈ R, where d, g are derivations of R and p, q are some elements from symmetric Martindale ring of quotients of R. Besides, d(x) = -d(x*)*, g(x) = g(x*)*, for all x ∈ R, and p* = p, q* = -q.

Ključne riječi
*-ring; semiprime ring; derivation; left (right) centralizer; bicircular projection

Hrčak ID: 3297

URI
https://hrcak.srce.hr/3297

Posjeta: 526 *