On ε-Derivations and Local ε-Derivations
On ε-Derivations and Local ε-Derivations
摘要
In this paper, we describe ∈-derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main results is applied to local ∈-derivations on some certain graded algebras.
In this paper, we describe ∈-derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main results is applied to local ∈-derivations on some certain graded algebras.
参考文献18
-
1Bresar, M.: Characterizing homomorphisms, derivations, and multipliers in rings with idempotents. Proc. R. Soe. Edinb., Sect. A, Math., 137, 9- 21 (2007).
-
2Fosner, A., Fosner, M.: On superderivations and local superderivations. Taiwan Residents J. Math., 11, 1383-1396 (2007).
-
3Kadison, R. V.: Local derivations. J. Algebra, 130, 494-509 (1990).
-
4Larson, D., Sourour, A. R.: Local derivations and local automorphisms of B(X). Proc. Syrup. Pure Math., 51, 187-194 (1990).
-
5Bresar, M.: Characterizations of derivations on some normed algebras with involution. J. Algebra, 152, 454-462 (1992).
-
6Bresar, M., Semrl, P.: Mappings which preserve idempotents, local automorphisms, and local derivations. Canad. J. Math., 45, 483-496 (1993).
-
7Crist, R. L.: Local derivations on operator algebras. J. Funct. Anal., 135, 76-92 (1996).
-
8Hadwin, D., Li, J.: Local derivations and local automorphisms. J. Math. Anal. Appl., 290, 702-714 (2004).
-
9Han, D. G., Wei, S. Y.: Local derivations of nest algebras. Proc. Amer. Math. Soc., 123, 3095-3100 (1995).
-
10Johnson, B. E.: Local derivations on C^*-algebras are derivations. Trans. Amer. Math. Soc., 353, 313-325 (2001).
-
1Cheng Cheng SUN Jing MA Li Zhi LANG.Orthogonality of Generalized (θ,φ)-Derivations on Ideals[J].Journal of Mathematical Research and Exposition,2011,31(2):315-322.
-
2Yong Feng PANG,Wei YANG,Hong Ke DU.φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras[J].Journal of Mathematical Research and Exposition,2011,31(4):721-726.
-
3Juntao WANG,Youngbae JUN,Xiaolong XIN,Yuxi ZOU.On Derivations of Bounded Hyperlattices[J].Journal of Mathematical Research with Applications,2016,36(2):151-161. 被引量：2
-
4Park Chun-Gil.LINEAR *-DERIVATIONS ON JB*-ALGEBRAS[J].Acta Mathematica Scientia,2005,25(3):449-454.
