The purpose of this paper is to study derivations and generalized derivations satisfying
certain identities on semigroup ideals of near-rings. Some well-known results characterizing …

O D  P N-R Page 1 African Diaspora Journal of
Mathematics Volume 14, Number 1, pp. 65–72 (2012) ISSN 1539-854X www.math-res-pub.org/adjm …

Let N be a prime near-ring. We show two main results on the commutativity of N:(1) If there
exist k, l∈ ℕ such that N admits a generalized derivation D satisfying either D ([x, y])= xk [x …

Let N be a left near-ring and let σ, τ be automorphisms of N. An additive mapping d: N−→ N
is called a (σ, τ)-derivation on N if d (xy)= σ (x) d (y)+ d (x) τ (y) for all x, y∈ N. In this paper …

In the present paper, we introduce the notion of (σ, τ)-n-derivation in near-ring N and
investigate some properties involving (σ, τ)-n-derivations of a prime near-ring N which force …

Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes Mathematicae
Universitatis Carolinae Abdelkarim Boua; Lahcen Oukhtite; Abderrahmane Raji Jordan ideals …

SOME PROPERTIES OF SYMMETRIC BI-(σ, τ)-DERIVATIONS IN NEAR-RINGS Reprinted from
the Communications of the Korean Mathematical Page 1 Commun. Korean Math. Soc. 22 (2007) …

Throughout this paper N will be a left near-ring with multiplicative center Z (N); and usually N
will be 3-prime, if for all x, y∈ N, xNy= 0 implies x= 0 or y= 0. A near-ring N is called zero …

In the first part of this paper, we mention some errors in Communications in Algebra, DOI:
10.1080/00927872.2019. 1684510, and give a correct version of the errant results. In the …

Let N be a prime left near-ring, and I be a nonzero semigroup ideal of N. We prove that if N
admits a derivation d satisfying any one of the following properties:(i) d ([x, y])=[x, y],(ii) d ([x …