Module decompositions via Rickart modules

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: Harmanci, A., Ungor, B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188373
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Module decompositions via Rickart modules/ A. Harmanci, B. Ungor // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 47–64. — Бібліогр.: 15 назв. — англ.

This work is devoted to the investigation of module decompositions which arise from Rickart modules, socle and radical of modules. In this regard, the structure and several illustrative examples of inverse split modules relative to the socle and radical are given. It is shown that a module M has dec...