A complex algebra A is called ideally factored if Ia = Ca is a

left ideal of A for all a 2 A. In this article, we investigate some interesting

properties of ideally factored algebras and show that these ...

\\"CHARACTERIZATION OF HIGHER DERIVATIONS ON ALGEBRAS\\"

Let A be an algebra. A sequence d_n of linear mappings on A is called a higher derivation if d_n(ab)=\\\\sum_{k=1}^n d_k(a)d_{n-k}(b). In this paper we give ...

PRIME HIGHER DERIVATIONS ON ALGEBRAS

Let A be an algebra. A sequence {d_n} of linear mappings

from A into P A is called a higher derivation if d_n(ab) = sum_k=0^n d_k(a) d_{n−k}(b) for each a, b in A and ...

Let ‎$‎G=(V, E)‎$‎ be a connected graph and ‎$‎S‎$‎ be a subset of ‎$‎V‎$‎. We say that ‎$‎S‎$‎ resolves ‎$‎G‎$‎ if every vertex of ‎$‎G‎$‎ is uniquely determined by its vector of distances with respect to the ordered set ...

Two characterizations for higher derivations on commutative algebras and higher ternary derivations on ternary algebras are given. In particular, we show that a sequence $\\{h_{n}\\}_{n=0}^{\\infty}$ of linear mappings on ...

Let X be a topological ring. In this paper, we consider the three classes

of nr-bounded, br-bounded and cr-continuous group homomorphisms defined on X

and denote these classes by Bnr(X);Bbr(X) and Bcr(X), ...

Abstract: A self-contained graph is an infinite graph which is isomorphic to one of its proper induced subgraphs. In this paper, ordinary star-like self-contained graphs are introduced and it is shown that every ordinary ...

Let (X,⊥) be a real vector space of dimension at least 3, with the orthogonality

defined on it by:(i) for all x ∈ X, x ⊥ 0 and 0 ⊥ x,(ii) for all x, y ∈ X \\ {0}, x ⊥ y if and only if x, y are linearly independent.We ...