绝对D-纯模(英文) 被引量：1

Absolutely D-pure modules

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摘要引入绝对D-纯模的概念,并讨论了绝对D-纯模类对直和、D-纯子模、扩张的封闭性;研究了D-纯平坦模和D-纯内射模的关系与性质. The concept of absolutely D-pure modules is introduced, and the properties of absolutely D- pure modules are studied, that is, the class of absolutely D-pure modules is closed under direct sums, D- pure submodules and extensions. It is shown the properties of D-pure injective modules and the D-pure flat modules.

作者杨晓燕赵建莲

机构地区西北师范大学数学与信息科学学院

出处《西北师范大学学报（自然科学版）》 CAS 北大核心 2012年第5期23-27,共5页 Journal of Northwest Normal University(Natural Science)

基金国家自然科学基金资助项目(11001222)

关键词绝对D-纯模 D-纯平坦模 D-纯内射模 absolutely D-pure module D-pure flat module D-pure injective module

分类号 O153.3 [理学—基础数学]

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参考文献10

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共引文献1

1李庆.交换环上的绝对w-E-纯模[J].云南大学学报（自然科学版）,2022,44(4):655-662.

同被引文献5

1佟文廷.同调代数引论[M]．北京：高等教育出版社，1996．
2Crivei I. S-Pure submodule[J].Intemational Journal of Mathmatics and Mathmatical Sciences, 2005(4):491-497.
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引证文献1

1何东林,李煜彦.S-纯子模的若干刻画[J].井冈山大学学报（自然科学版）,2013,34(6):13-15. 被引量：1

二级引证文献1

1何东林,李煜彦.相对于挠理论的S-纯子模和S-纯内射模[J].大庆师范学院学报,2019,39(6):87-91.

1张金羽.有关纯子模结构研究[J].唐山师范学院学报,2011,33(5):7-8.
2王琦.拉回图与模的平坦性[J].林区教学,2012(11):96-97.
3张朝武.主理想整环上的纯子模与有限生成模[J].电子制作,2013,21(8X):38-38.
4宋贤梅,陈建龙.Notes on pure projective modules[J].Journal of Southeast University(English Edition),2005,21(4):506-508.
5杨曼丽.关于所有子模是纯子模的平坦模(英文)[J].数学研究,2006,39(1):32-35.

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2012年第5期

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