Enviar artigo por via de e-mail Modules close to SSP- and SIP-modules
- Autores: Abyzov A.1, Nhan T.2, Quynh T.3
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Afiliações:
- Department of Algebra and Mathematical Logic
- Department of IT and Mathematics Teacher Training
- Department of Mathematics
- Edição: Volume 38, Nº 1 (2017)
- Páginas: 16-23
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198588
- DOI: https://doi.org/10.1134/S1995080217010024
- ID: 198588
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Resumo
In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules; establish connections between the class of semisimple artinian rings and the class of SIP rings. It shows that R is a semisimple artinian ring if and only if RR is SIP and every right R-module has a SIP-cover. We also prove that R is a semiregular ring and J(R) = Z(RR) if only if every finitely generated projective module is a CSRickart module which is also a C2 module.
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Sobre autores
A. Abyzov
Department of Algebra and Mathematical Logic
Autor responsável pela correspondência
Email: Adel.Abyzov@ksu.ru
Rússia, Kremlevskaya ul. 18, Kazan, 420008
Tran Nhan
Department of IT and Mathematics Teacher Training
Email: Adel.Abyzov@ksu.ru
Vietnã, Cao Lãnh
Truong Quynh
Department of Mathematics
Email: Adel.Abyzov@ksu.ru
Vietnã, 459 Ton Duc Thang, Danang city
