Rings which have (m,n)-flat injective modules

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Фізико-технічні та математичні науки
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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2005, Vol. 4
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Algebra and Discrete Mathematics, 2005, № 4
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Rings which have (m,n)-flat injective modules

Інший ID: 2000 Mathematics Subject Classification: 16D50, 16E65.

URI: http://dspace.nbuv.gov.ua/handle/123456789/157333

Посилання: Rings which have (m,n)-flat injective modules / Z. Zhanmin, X. Zhangsheng // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 93–100. — Бібліогр.: 12 назв. — англ.

Підтримка: We are indebted to the referee for several comments that improved the paper.

Дата: 2005

Завантажень: 149

Rings which have (m,n)-flat injective modules

Анотація:

A ring R is said to be a left IF − (m, n) ring if every injective left R-module is (m, n)-flat. In this paper, several characterizations of left IF − (m, n) rings are investigated, some conditions under which R is left IF−(m, n) are given. Furthermore, conditions under which a left IF −1 ring (i.e., IF −(1, 1) ring) is a field, a regular ring and a semisimple ring are studied respectively.

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