Symmetric modules over their endomorphism rings

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Authors: Ungor, B., Kurtulmaz, Y., Halicioglu, S., Harmanci, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154256
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symmetric modules over their endomorphism rings / B. Ungor, Y. Kurtulmaz, S. Halicioglu, A. Harmanci // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 283–294. — Бібліогр.: 23 назв. — англ.

Let R be an arbitrary ring with identity and M a right R-module with S=EndR(M). In this paper, we study right R-modules M having the property for f,g∈EndR(M) and for m∈M, the condition fgm=0 implies gfm=0. We prove that some results of symmetric rings can be extended to symmetric modules for th...