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Communications in Algebra Volume 35, 2007 - Issue 3
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Original Articles

Envelopes and Covers by Modules of Finite FP-Injective and Flat Dimensions

Lixin Mao Department of Basic Courses, Nanjing Institute of Technology, Nanjing, China; Department of Mathematics, Nanjing University, Nanjing, China
&
Nanqing Ding Department of Mathematics, Nanjing University, Nanjing, ChinaCorrespondence[email protected]
Pages 833-849 | Received 14 Oct 2005, Published online: 28 Mar 2007

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Alina Iacob. (2021) Ding injective modules. Communications in Algebra 49:7, pages 2901-2905.
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Guocheng Dai & Nanqing Ding. (2019) Coherent rings and absolutely pure precovers. Communications in Algebra 47:11, pages 4743-4748.
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Guocheng Dai & Nanqing Ding. (2018) Coherent rings and absolutely pure covers. Communications in Algebra 46:3, pages 1267-1271.
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Weiqing Li, Jiancheng Guan & Baiyu Ouyang. (2017) Strongly FP-injective modules. Communications in Algebra 45:9, pages 3816-3824.
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Dawei Xin, Jianlong Chen & Xiaoxiang Zhang. (2013) On Gorenstein FP-Injective and Gorenstein Flat Complexes. Communications in Algebra 41:4, pages 1247-1267.
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Gang Yang, Zhongkui Liu & Li Liang. (2013) Model Structures on Categories of Complexes Over Ding-Chen Rings. Communications in Algebra 41:1, pages 50-69.
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Zenghui Gao. (2012) On n-FI-Injective and n-FI-Flat Modules. Communications in Algebra 40:8, pages 2757-2770.
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Yang Gang & Liu Zhongkui. (2012) Covers and Envelopes of Complexes. Communications in Algebra 40:2, pages 531-541.
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Yuedi Zeng & Jianlong Chen. (2010) Envelopes and Covers by Modules of Finite FP-Injective Dimensions. Communications in Algebra 38:10, pages 3851-3867.
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Yuxian Geng & Nanqing Ding. (2009) Pure Hereditary Rings. Communications in Algebra 37:6, pages 2127-2141.
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Articles from other publishers (24)

Bo Lu. (2022) FP-injective objects in the category of N-complexes. Indian Journal of Pure and Applied Mathematics 55:1, pages 242-255.
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Qianqian Yuan & Hailou Yao. (2024) FC-Projective Comodules and FC-Projective Dimensions. International Journal of Applied Physics and Mathematics 14:1, pages 12-19.
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Mourad KHATTARI & Driss BENNIS. (2023) $(n,d)$-$\mathcal{X}_R$-phantom and $(n,d)$-$_R\mathcal{X}$-cophantom morphisms. International Electronic Journal of Algebra 34:34, pages 210-236.
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Gang Yang & Junpeng Wang. (2022) FP-injective dimensions and Gorenstein homology. Proceedings of the Edinburgh Mathematical Society, pages 1-17.
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Qing Li. (2022) Absolutely w-Pure Modules and Weak FP-Injective Dimensions. Results in Mathematics 77:3.
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Kaiyang Lan & Bo Lu. (2021) On $n$-phantom and $n$-Ext-phantom Morphisms. Taiwanese Journal of Mathematics 25:5.
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Mindy Huerta, Octavio Mendoza & Marco A. Pérez. (2021) n-Cotorsion pairs. Journal of Pure and Applied Algebra 225:5, pages 106556.
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Lixin Mao. (2019) Phantom Envelopes and $$\mathrm{Ext}$$-Phantom Covers of Modules. Bulletin of the Iranian Mathematical Society 46:2, pages 441-455.
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Weiqing Li, Liang Yan & Baiyu Ouyang. (2019) On global $\mathscr C$-dimensions. Rocky Mountain Journal of Mathematics 49:2.
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Lixin Mao. (2018) Higher Phantom Morphisms with Respect to a Subfunctor of Ext. Algebras and Representation Theory 22:2, pages 407-424.
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C. Selvaraj & P. Prabakaran. (2019) On n-Weak Cotorsion Modules. Lobachevskii Journal of Mathematics 39:9, pages 1428-1436.
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Daniel Bravo, Sergio Estrada & Alina Iacob. (2018) FP n -Injective, FP n -Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers . Algebra Colloquium 25:02, pages 319-334.
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James Gillespie. (2017) On Ding injective, Ding projective and Ding flat modules and complexes. Rocky Mountain Journal of Mathematics 47:8.
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Daniel Bravo & Marco A. Pérez. (2017) Finiteness conditions and cotorsion pairs. Journal of Pure and Applied Algebra 221:6, pages 1249-1267.
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Hai-yan Zhu. (2015) On Ding homological dimensions. Applied Mathematics-A Journal of Chinese Universities 30:4, pages 491-502.
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Zenghui Gao. (2015) $n$-Кочистые проективные модули$n$-Copure Projective Modules. Математические заметки Matematicheskie Zametki 97:1, pages 58-66.
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Zenghui Gao. (2015) n-Copure projective modules. Mathematical Notes 97:1-2, pages 50-56.
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Gang Yang, Zhongkui Liu & Li Liang. (2013) Ding Projective and Ding Injective Modules. Algebra Colloquium 20:04, pages 601-612.
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Zhaoyong Huang. (2013) Gorenstein injective and strongly cotorsion modules. Israel Journal of Mathematics 198:1, pages 215-228.
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Gang Yang. (2012) HOMOLOGICAL PROPERTIES OF MODULES OVER DING-CHEN RINGS. Journal of the Korean Mathematical Society 49:1, pages 31-47.
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HUSHENG QIAO & LIMIN WANG. (2011) ON FLATNESS COVERS OF CYCLIC ACTS OVER MONOIDS. Glasgow Mathematical Journal 54:1, pages 163-167.
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Luling Duan & Baiyu Ouyang. (2012) Relative FI-injective and FI-flat modules. Indian Journal of Pure and Applied Mathematics 42:6, pages 417-441.
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Gang Yang & Zhongkui Liu. (2011) Cotorsion pairs and model structures on Ch( R ) . Proceedings of the Edinburgh Mathematical Society 54:3, pages 783-797.
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ZHANPING WANG & ZHONGKUI LIU. (2011) SOME COVERS AND ENVELOPES IN THE CHAIN COMPLEX CATEGORY OF R -MODULES . Journal of the Australian Mathematical Society 90:3, pages 385-401.
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