Connections between Baer annihilator conditions and extending conditions for nearrings and rings

Birkenmeier G. F., KILIÇ N., Mutlu F. T., Tastan E., TERCAN A., YAŞAR R.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1142/s0219498826500507
  • Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, we define several versions of the left extending condition for nearrings and rings not necessarily having a unity. We investigate the interconnections between the extending conditions and the Baer annihilating conditions in a right nearring. Our results culminate in a nearring version of the Chatters-Khuri theorem for rings. Examples are provided illustrating and delimiting our results.