Abstract
Let R be an associative ring. A multiplicative semi-derivation d is a map on R satisfying
for all
References
[1]
A. N. Alkenani, M. Ashraf and B. A. Wani,
Characterizations of
[2] K. I. Beidar, W. S. Martindale, III and A. V. Mikhalev, Rings with Generalized Identities, Monogr. Textb. Pure Appl. Math. 196, Marcel Dekker, New York, 1996. Suche in Google Scholar
[3] H. E. Bell and W. S. Martindale, III, Semiderivations and commutativity in prime rings, Canad. Math. Bull. 31 (1988), no. 4, 500–508. 10.4153/CMB-1988-072-9Suche in Google Scholar
[4] J. Bergen, Derivations in prime rings, Canad. Math. Bull. 26 (1983), no. 3, 267–270. 10.4153/CMB-1983-042-2Suche in Google Scholar
[5] M. Brešar, Semiderivations of prime rings, Proc. Amer. Math. Soc. 108 (1990), no. 4, 859–860. 10.1090/S0002-9939-1990-1007488-XSuche in Google Scholar
[6] J. C. Chang, On semiderivations of prime rings, Chinese J. Math. 12 (1984), no. 4, 255–262. Suche in Google Scholar
[7] M. N. Daif, When is a multiplicative derivation additive?, Internat. J. Math. Math. Sci. 14 (1991), no. 3, 615–618. 10.1155/S0161171291000844Suche in Google Scholar
[8] M. N. Daif and M. S. Tammam El-Sayiad, Multiplicative generalized derivations which are additive, East-West J. Math. 9 (2007), no. 1, 31–37. 10.12988/ija.2007.07060Suche in Google Scholar
[9]
C. Hou, W. Zhang and Q. Meng,
A note on
[10] B. Hvala, Generalized derivations in rings, Comm. Algebra 26 (1998), no. 4, 1147–1166. 10.1080/00927879808826190Suche in Google Scholar
[11]
A. Jabeen and M. Ashraf,
Nonlinear
[12] W. Jing and F. Lu, Additivity of Jordan (triple) derivations on rings, Comm. Algebra 40 (2012), no. 8, 2700–2719. 10.1080/00927872.2011.584927Suche in Google Scholar
[13] R. E. Johnson, Rings with unique addition, Proc. Amer. Math. Soc. 9 (1958), 57–61. 10.1090/S0002-9939-1958-0095868-0Suche in Google Scholar
[14] F. Lu, Jordan derivable maps of prime rings, Comm. Algebra 38 (2010), no. 12, 4430–4440. 10.1080/00927870903366884Suche in Google Scholar
[15] F. Y. Lu and J. H. Xie, Multiplicative mappings of rings, Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 4, 1017–1020. 10.1007/s10114-005-0620-7Suche in Google Scholar
[16] W. S. Martindale, III, When are multiplicative mappings additive?, Proc. Amer. Math. Soc. 21 (1969), 695–698. 10.1090/S0002-9939-1969-0240129-7Suche in Google Scholar
[17] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100. 10.1090/S0002-9939-1957-0095863-0Suche in Google Scholar
[18] C. E. Rickart, One-to-one mappings of rings and lattices, Bull. Amer. Math. Soc. 54 (1948), 758–764. 10.1090/S0002-9904-1948-09073-5Suche in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
- On a Robin type problem involving 𝑝(𝑥)-Laplacian operator
- On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
- On inclusion properties of discrete Morrey spaces
- Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
- Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator
- On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh–Fourier series
- Several characterizations of Bessel functions and their applications
- The incomplete exponential pRp (α,β;z) function with applications
- Higher integrability and reverse Hölder inequalities in the limit cases
- When are multiplicative semi-derivations additive?
- On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity
- Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces
Artikel in diesem Heft
- Frontmatter
- The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
- On a Robin type problem involving 𝑝(𝑥)-Laplacian operator
- On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
- On inclusion properties of discrete Morrey spaces
- Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
- Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator
- On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh–Fourier series
- Several characterizations of Bessel functions and their applications
- The incomplete exponential pRp (α,β;z) function with applications
- Higher integrability and reverse Hölder inequalities in the limit cases
- When are multiplicative semi-derivations additive?
- On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity
- Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces