On dual Rickart modules and weak dual Rickart modules
ALGEBRA & DISCRETE MATHEMATICS, cilt.25, sa.2, ss.200-214, 2018 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 2
- Basım Tarihi: 2018
- Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.200-214
- Hacettepe Üniversitesi Adresli: Evet
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.