Derivation-homomorphisms
Derivation-homomorphisms
In this paper, we introduce notions of (n, m) -derivation-homomorphisms and Boolean n-derivations. Using Boolean n-derivations and m-homomorphisms, we describe structures of (n, m) -derivation-homomorphisms.
___
- [1] Breˇsar M, Martindale WS. Centralizing mapping and derivations in prime rings. J Algebra 1993; 156: 385-394.
- [2] Breˇsar M, Martindale WS, Miers CR. Centralizing maps in prime rings with involution. J Algebra 1993; 161: 342-357.
- [3] Jung YS, Park KH. On prime and semiprime rings with permuting 3-derivations. Bull Korean Math Soc 2007; 44: 789-794.
- [4] Li LY, Xu XW. Jordan multi-homomorphisms on Associative Rings. J Jilin Univ Sic 2014; 52: 1105-1111.
- [5] Park KH. On 4-permuting 4-derivations in prime and semiprime rings. J Korea Soc Math Educ Ser B Pure Appl Math 2007; 14: 271-278.
- [6] Park KH. On prime and semiprime rings with symmetric n-derivations. J Chungcheong Math Soc 2009; 22: 451-458.
- [7] Posner E. Derivations in prime rings. Proc Amer Math Soc 1957; 8: 1093-1100.
- [8] Vukman J. Symmetric bi-derivations on prime and semi-prime rings. Aequationes Math 1989; 38: 245-254.
- [9] Wang Y, Wang Y, Du YQ. n-derivations of triangular algebras. Linear Algebra Appl 2013; 439: 463-471.
- [10] Xu XW, Liu Y, Zhang W. Skew n-derivations on semiprime rings. Bull Korean Math Soc 2013; 50: 1863-1871.