On dual Rickart modules and weak dual Rickart modules


KESKİN TÜTÜNCÜ D., ORHAN ERTAŞ N. , Tribak R.

ALGEBRA & DISCRETE MATHEMATICS, cilt.25, ss.200-214, 2018 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 25 Konu: 2
  • Basım Tarihi: 2018
  • Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
  • Sayfa Sayısı: ss.200-214

Özet

Let R be a ring. A right R-module M is called d-Rickart if for every endomorphism phi of M, phi(M) is a direct summand of M and it is called wd-Rickart if for every nonzero endomorphism phi of M, phi(M) contains a nonzero direct summand of M. We begin with some basic properties of (w)d-Rickart modules. Then we study direct sums of (w)d-Rickart modules and the class of rings for which every finitely generated module is (w)d-Rickart. We conclude by some structure results.