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Communications in Algebra Volume 41, 2013 - Issue 1
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Original Articles

Gorenstein Projective Dimension Relative to a Semidualizing Bimodule

Zengfeng Liu Department of Mathematics, Nanjing University, Nanjing, Jiangsu Province, China
,
Zhaoyong Huang Department of Mathematics, Nanjing University, Nanjing, Jiangsu Province, ChinaCorrespondence[email protected]
&
Aimin Xu Department of Mathematics, Nanjing University, Nanjing, Jiangsu Province, China
Pages 1-18 | Received 10 Jun 2011, Published online: 04 Jan 2013

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Zhibing Zhao. (2022) G-projectivity and injectivity under Frobenius extensions. Communications in Algebra 50:12, pages 5155-5170.
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Driss Bennis, Rachid El Maaouy, Juan Ramón García Rozas & Luis Oyonarte. (2022) Relative Gorenstein flat modules and dimension. Communications in Algebra 50:9, pages 3853-3882.
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Wan Wu & Zenghui Gao. (2022) FP-injective and FP-flat modules with respect to a semidualizing bimodule. Communications in Algebra 50:2, pages 583-599.
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Zhen Zhang & Jiaqun Wei. (2021) Relative copure modules and Foxby equivalence. Communications in Algebra 49:8, pages 3223-3231.
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Wanru Zhang, Zhongkui Liu & Xiaoyan Yang. (2018) Foxby equivalences associated to Gorenstein categories 𝒢(𝒳,𝒴,𝒵). Communications in Algebra 46:9, pages 4042-4051.
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Papiya Bhattacharjee & Warren Wm. McGovern. (2018) Lamron ℓ-groups. Quaestiones Mathematicae 41:1, pages 81-98.
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Zhenxing Di, Jiaqun Wei, Xiaoxiang Zhang & Jianlong Chen. (2016) On Balance for Relative Homology. Communications in Algebra 44:10, pages 4262-4276.
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Articles from other publishers (22)

Xi Tang & Zhao Yong Huang. (2023) Homological Transfer between Additive Categories and Higher Differential Additive Categories. Acta Mathematica Sinica, English Series.
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Abdolnaser Bahlekeh, Shokrollah Salarian & Zahra Toosi. (2023) Cohen–Macaulay Noetherian algebras. Kyoto Journal of Mathematics 63:1.
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Driss Bennis, Rachid El Maaouy, J. R. García Rozas & Luis Oyonarte. (2021) On relative counterpart of Auslander’s conditions. Journal of Algebra and Its Applications 22:01.
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Renyu Zhao & Yanjie Li. (2022) A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES. Rocky Mountain Journal of Mathematics 52:6.
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Zhaoyong Huang. (2022) Homological dimensions relative to preresolving subcategories II. Forum Mathematicum 34:2, pages 507-530.
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Zhaoyong Huang. (2022) On the $ C $-flatness and injectivity of character modules. Electronic Research Archive 30:8, pages 2899-2910.
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Driss Bennis, Enrique Duarte, Juan R. García Rozas & Luis Oyonarte. (2021) The role of w-tilting modules in relative Gorenstein (co)homology. Open Mathematics 19:1, pages 1251-1278.
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Zhaoyong Huang. (2021) Duality pairs induced by Auslander and Bass classes. Georgian Mathematical Journal 28:6, pages 867-882.
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Driss Bennis, Rachid El Maaouy, Juan Ramón García Rozas & Luis Oyonarte. (2021) Relative Gorenstein Dimensions over Triangular Matrix Rings. Mathematics 9:21, pages 2676.
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Yuntao Huang, Xia Wu & Weiling Song. (2020) Finitistic Homological Dimensions Relative to Subcategories. Mathematics 8:12, pages 2228.
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Weiling Song, Tiwei Zhao & Zhaoyong Huang. (2019) Duality Pairs Induced by One-Sided Gorenstein Subcategories. Bulletin of the Malaysian Mathematical Sciences Society 43:2, pages 1989-2007.
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Guoqiang Zhao & Bo Zhang. (2019) Homological Behavior of Relative Cotorsionfree and Cosyzygy Modules. Algebra Colloquium 26:03, pages 467-478.
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Xi Tang & Zhaoyong Huang. (2017) Coreflexive Modules and Semidualizing Modules with Finite Projective Dimension. Taiwanese Journal of Mathematics 21:6.
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Xi Tang & Zhaoyong Huang. (2017) Homological aspects of the dual Auslander transpose, II. Kyoto Journal of Mathematics 57:1.
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Driss Bennis, J. R. García Rozas & Luis Oyonarte. (2016) Relative Gorenstein global dimension. International Journal of Algebra and Computation 26:08, pages 1597-1615.
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Guoqiang Zhao & Xiaoguang Yan. (2016) Resolutions and stability of $C$-Gorenstein flat modules. Rocky Mountain Journal of Mathematics 46:5.
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Liang Zhao & Yiqiang Zhou. (2016) DC-projective dimensions, Foxby equivalence and SDC-projective modules. Journal of Algebra and Its Applications 15:06, pages 1650111.
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Driss Bennis, J. R. García Rozas & Luis Oyonarte. (2014) Relative Gorenstein Dimensions. Mediterranean Journal of Mathematics 13:1, pages 65-91.
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Chunxia Zhang, Limin Wang & Zhongkui Liu. (2015) Ding projective modules with respect to a semidualizing bimodule. Rocky Mountain Journal of Mathematics 45:4.
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Maryam Salimi, Elham Tavasoli, Pouyan Moradifar & Siamak Yassemi. (2013) Syzygy and Torsionless Modules with Respect to a Semidualizing Module. Algebras and Representation Theory 17:4, pages 1217-1234.
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Zhaoyong Huang. (2014) Homological dimensions relative to preresolving subcategories. Kyoto Journal of Mathematics 54:4.
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Zhaoyong Huang. (2013) Proper resolutions and Gorenstein categories. Journal of Algebra 393, pages 142-169.
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