FEEBLY BAER RINGS AND MODULES

Kosan M. T., Lee T., Zhou Y.

COMMUNICATIONS IN ALGEBRA, cilt.42, sa.10, ss.4281-4295, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 10
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/00927872.2013.808651
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4281-4295
  • Anahtar Kelimeler: Feebly Baer ring and module, Von Neumann regular ring, p.p. ring and module, Triangular matrix ring, polynomial modules
  • Gazi Üniversitesi Adresli: Hayır

Özet

A right module M over a ring R is called feebly Baer if, whenever xa = 0 with x is an element of M and a is an element of R, there exists e(2) = e is an element of R such that xe = 0 and ea = a. The ring R is called feebly Baer if R-R is a feebly Baer module. These notions are motivated by the commutative analog discussed in a recent paper by Knox, Levy, McGovern, and Shapiro [6]. Basic properties of feebly Baer rings and modules are proved, and their connections with von Neumann regular rings are addressed.