On dual Rickart modules and weak dual Rickart modules

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2018
• Hauptverfasser: Keskin Tütüncü, D., Orhan Ertas, N., Tribak, R.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188359
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On dual Rickart modules and weak dual Rickart modules / D. Keskin Tütüncü, N. Orhan Ertas, R. Tribak // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 200–214 . — Бібліогр.: 15 назв. — англ.

Let R be a ring. A right R-module M is called d-Rickart if for every endomorphism φ of M, φ(M) is a direct summand of M and it is called wd-Rickart if for every nonzero endomorphism φ of M, φ(M) contains a nonzero direct summand of M. We begin with some basic properties of (w)d-Rickart modules. Then...