지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Let R be a 3!-torsion free semiprime ring, and let $D:R{\rightarrow}R$ be a Jordan derivation on a semiprime ring R. In this case, we show that [D(x), x]D(x) = 0 if and only if D(x)[D(x), x] = 0 for every $x{\in}R$. In particular, let A be a Banach algebra with rad(A). If D is a continuous linear Jordan derivation on A, then we see that $[D(x),x]D(x){\in}rad(A)$ if and only if $[D(x),x]D(x){\in}rad(A)$ for all $x{\in}A$.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
F. F. Bonsall / 1973 / Complete Normed Algebras / Berlin-Heidelberg-New York
M. Bresar / 1988 / Jordan derivations on semiprime rings / Proc. Amer. Math. Soc 104(4):1003~1006
L.O. Chung / 1981 / Semiprime rings with nilpotent derivatives / Canad. Math. Bull 24(4):415~421
B. E. Johnson / 1968 / Continuity of derivations and a problem of Kaplansky / Amer. J. Math 90:1067~1073
A. M. Sinclair / 1970 / Jordan homohorphisms and derivations on semisimple Banach algebras / Proc. Amer. Math. Soc 24:209~214
M. Bresar / 1988 / Jordan derivations on semiprime rings / Proc. Amer. Math. Soc 104(4):1003~1006
L.O. Chung / 1981 / Semiprime rings with nilpotent derivatives / Canad. Math. Bull 24(4):415~421
B. E. Johnson / 1968 / Continuity of derivations and a problem of Kaplansky / Amer. J. Math 90:1067~1073
A. M. Sinclair / 1970 / Jordan homohorphisms and derivations on semisimple Banach algebras / Proc. Amer. Math. Soc 24:209~214
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
The properties of Jordan derivations of semiprime rings and Banach algebras, I
대한수학회논문집
2018 .01
-
JORDAN DERIVATIONS ON SEMIPRIME RINGS AND THEIR RADICAL RANGE IN BANACH ALGEBRAS
충청수학회지
2018 .01
-
The properties of Jordan derivations of semiprime rings and Banach algebras, II
대한수학회논문집
2019 .01
-
JORDAN DERIVATIONS ON A LIE IDEAL OF A SEMIPRIME RING AND THEIR APPLICATIONS IN BANACH ALGEBRAS
순수 및 응용수학
2016 .01
-
THE JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS
충청수학회지
2016 .01
-
Derivations with Power Values on Lie Ideals in Rings and Banach Algebras
Kyungpook Mathematical Journal
2016 .01
-
Derivations of UP-algebras
한국수학논문집
2016 .01
-
Spectrally Bounded Higher Derivations Mapping into the Jacobson Radical
Kyungpook Mathematical Journal
2017 .01
-
Generalized Derivations on *-prime Rings
Kyungpook Mathematical Journal
2018 .01
-
ON f-DERIVATIONS OF BE-ALGEBRAS
충청수학회지
2015 .01
-
On generalized Jordan derivations of generalized matrix algebras
대한수학회논문집
2020 .01
-
Jordan higher derivations on trivial extension algebras
대한수학회논문집
2016 .01
-
A note on Jordan derivations of trivial generalized matrix algebras
대한수학회논문집
2017 .01
-
Jordan $\mathcal{G}_n$-derivations on path algebras
대한수학회논문집
2022 .10
-
Jordan generalized derivations on trivial extension algebras
대한수학회논문집
2018 .01
-
On generalized $f$-derivations of lattice implication algebras
한국수학논문집
2019 .01
-
Lie bracket Jordan derivations in Banach Jordan algebras
순수 및 응용수학
2021 .01
-
A characterization of additive derivations on $C^*$-algebras
한국수학논문집
2018 .01
-
DERIVATIONS OF A NON-ASSOCIATIVE GROWING ALGEBRA
호남수학학술지
2018 .01
-
Remarks on generalized (α, β)-derivations in semiprime rings
대한수학회논문집
2017 .07
이 논문의 저자 정보
최근 본 자료
댓글(0)
0