Semigroup ideals and generalized semiderivations of prime near rings

  • Asma Ali Aligarh Muslim University Department of Mathematics http://orcid.org/0000-0001-7602-0268
  • Abdelkarim Boua Sidi Mohammed Ben Abdllah University Polydisciplinary Faculty
  • Farhat Ali Aligarh Muslim University Department of Mathematics

Résumé

Let N be a near ring. An additive mapping F : N 􀀀! N is said to be a generalized semiderivation on N if there exists a semiderivation d : N 􀀀! N associated with a function g : N 􀀀! N such that F(xy) = F(x)y + g(x)d(y) = d(x)g(y) + xF(y) and F(g(x)) = g(F(x)) for all x; y 2 N. In this paper we prove some theorems in the setting of semigroup ideal of a 3-prime near ring admitting a nonzero generalized semiderivation associated with a nonzero semiderivation, thereby extending some known results on derivations, semiderivations and generalized derivations.

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Bibliographies de l'auteur

Asma Ali, Aligarh Muslim University Department of Mathematics
Professor, 

Department of Mathematics,
Aligarh Muslim University, Aligarh-202002

India.

Abdelkarim Boua, Sidi Mohammed Ben Abdllah University Polydisciplinary Faculty

Associate Professor, Department of Mathematics

P. O. Box 8106, Agadir; Morocco

Farhat Ali, Aligarh Muslim University Department of Mathematics

Department of Mathematics
Aligarh Muslim University, Aligarh-202002
India

Publiée
2018-01-09
Rubrique
Articles