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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N,  ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
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Some Centrally Extended Derivations on Banach Algebras

Mathematics
In this article, we consider centrally extended derivations on Banach algebras. We first establish the stability of centrally extended derivations on Banach algebras.
Ick-Soon Chang, Jaiok Roh
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On superstability of derivations in Banach algebras

Open Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

Generalized Projective product of semi-rings

Wasit Journal of Computer and Mathematics Science
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
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On Inner Derivations of Leibniz Algebras

Mathematics
Leibniz algebras are generalizations of Lie algebras. Similar to Lie algebras, inner derivations play a crucial role in characterizing complete Leibniz algebras.
Sutida Patlertsin, Suchada Pongprasert, Thitarie Rungratgasame   +2 more
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Generalized Derivations of BCC-Algebras

International Journal of Mathematics and Mathematical Sciences, 2013
The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras.
S. M. Bawazeer, N. O. Alshehri, Rawia Saleh Babusail   +2 more
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On simple Shamsuddin derivations in two variables

Anais da Academia Brasileira de Ciências
We study the subgroup of k-automorphisms of k [ x , y ] which commute with a simple derivation d of k [ x , y ]. We prove, for instance, that this subgroup is trivial when d is a shamsuddin simple derivation. in the general case of simple
RENE BALTAZAR
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Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

Journal of Inequalities and Applications, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
doaj  

ALGEBRAIC PROPERTIES OF JORDAN TRIPLE DERIVATIONS ON RING R

Barekeng
Polynomial rings play a fundamental role in algebra, with wide-ranging applications in number theory, algebraic geometry, and analysis. A key method for studying ring structures is through derivations.
Rachma Allya Shieffa, Fitriani Fitriani, Ahmad Faisol, Wamiliana Wamiliana, Thomas Juliansyah   +4 more
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NIL DERIVATIONS AND d-IDEALS ON POLYNOMIAL RINGS

Barekeng
Let  be a ring. An additive mapping  is called derivation if  satisfies Leibniz's rule, i.e.,   for every   In a special case, for each  there exists a positive integer  which depends on  such that , then  is called as a nil derivation on .
Ditha Lathifatul Mursyidah, Fitriani Fitriani, Bernadhita Herindri Samodera Utami, Ahmad Faisol   +3 more
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