Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On dual Rickart modules and weak dual Rickart modules
Репозиторій DSpace/Manakin
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On dual Rickart modules and weak dual Rickart modules
Інший ID:
2010 MSC: Primary 16D10; Secondary 16D80.
Посилання:
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.
Підтримка:
This work has been done during a visit of the third author to the Department of Mathematics, Karabük University in August 2015. The authors would like to express their special thanks to TÜBİTAK (Scientific and Technological Research Council of Turkey) for their financial support through the grant BİDEB 2221 that makes the third author’s visit possible to Turkey in August 2015 and Karabük University for their support and hospitality. Also the first and third authors wish to thank the second author and her family for their kind hospitality.
Дата:
2018
Переглядів:
207
Завантажень:
80
Анотація:
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 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.
