NEAR-RINGS WITH P-CENTRAL P-NILPOTENT OR P-IDEMPOTENT ELEMENTS


KAMACI H. , Atagun A. O.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, vol.40, no.5, pp.903-912, 2018 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.17654/nt040050903
  • Title of Journal : JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
  • Page Numbers: pp.903-912

Abstract

Let P be an ideal of a near-ring. In this study, we introduce P-nilpotent element of a near-ring with properties. Also, we show that each element which of both P-nilpotent and P-idempotent is only an element of the ideal P. We investigate the relationships between P-nilpotent, P-regular, P-idempotent and P-center. Finally, we introduce the near-rings in which P-idempotent elements or P-nilpotent elements are P-central.