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Baer semisimple modules and Baer rings
Репозиторій DSpace/Manakin
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Baer semisimple modules and Baer rings
Інший ID:
2000 Mathematics Subject Classification:16W60.
Посилання:
Baer semisimple modules and Baer rings / Xiaojiang Guo, K.P. Shum // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 32–49. — Бібліогр.: 15 назв. — англ
Підтримка:
The research of the first author is jointly supported by the Natural Science Foun-dation of Jiangxi Province; the Science Foundation of the Education Department ofJiangxi Province and the Foundation of Jiangxi Normal University, China. The re-search of the second author is partially supported by a UGC (HK)grant (#2160297/05-06).
Дата:
2008
Переглядів:
599
Завантажень:
180
Анотація:
We consider Baer rings and Baer semisimple R-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring R is a Baer ring if and only if R itself, regarded as a regular R-module, is Baer semisimple.
