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Communications in Algebra Volume 34, 2006 - Issue 10
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Original Articles

RD-Flatness and RD-Injectivity

François Couchot Department of Mathematics and Mechanics, University of Caen, Nicolas Oresme Laboratory, Caen Cedex, FranceCorrespondence[email protected]
Pages 3675-3689 | Received 09 Mar 2005, Published online: 16 Jan 2007

Citations (17)

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Fatemeh Zareh-Khoshchehreh. (2018) Lazard’s theorem for S-pure flat modules. Communications in Algebra 46:5, pages 2171-2178.
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M. Behboodi, A. Ghorbani, A. Moradzadeh-Dehkordi & S.H. Shojaee. (2014) On FC-Purity and I-Purity of Modules and Köthe Rings. Communications in Algebra 42:5, pages 2061-2081.
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M. Behboodi, A. Ghorbani, A. Moradzadeh-Dehkordi & S.H. Shojaee. (2013) C-Pure Projective Modules. Communications in Algebra 41:12, pages 4559-4575.
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Lixin Mao & Nanqing Ding. (2008) On Divisible and Torsionfree Modules. Communications in Algebra 36:2, pages 708-731.
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Articles from other publishers (13)

Yusuf Alagöz & Ali Moradzadeh-dehkordı. (2024) Homological objects of min-pure exact sequences. Hacettepe Journal of Mathematics and Statistics 53:2, pages 342-355.
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Yılmaz Durğun & Mücahit Bozkurt. (2023) Rings whose RD-flat modules have restricted subflat domains. Rendiconti del Circolo Matematico di Palermo Series 2 73:2, pages 579-585.
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Mücahit BOZKURT & Yilmaz DURĞUN. (2023) On subflat domains of RD-flat modules. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 72:3, pages 563-569.
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Yuedi Zeng. (2023) Flat modules and coherent endomorphism rings relative to some matrices. AIMS Mathematics 8:6, pages 14111-14131.
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A. Moradzadeh-Dehkordi & F. Couchot. (2022) RD-flatness and RD-injectivity of simple modules. Journal of Pure and Applied Algebra 226:9, pages 107034.
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Yılmaz Durğun. (2021) On subinjectivity domains of RD-injective modules. Asian-European Journal of Mathematics 15:08.
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Yilmaz DURĞUN. (2022) RD-projective module whose subprojectivity domain is minimal. Hacettepe Journal of Mathematics and Statistics 51:2, pages 373-382.
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Sanjeev Kumar Maurya, Soumitra Das & Yusuf Alagöz. (2022) Pure-Direct-Injective Modules. Lobachevskii Journal of Mathematics 43:2, pages 416-428.
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Ali Moradzadeh-Dehkordi. (2017) Corrigendum to “Rings whose cyclic modules are pure-injective or pure-projective” [J. Algebra 460 (2016) 128–142]. Journal of Algebra 486, pages 422-424.
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Ali Moradzadeh-Dehkordi. (2017) On the structure of pure-projective modules and some applications. Journal of Pure and Applied Algebra 221:4, pages 935-947.
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Ali Moradzadeh-Dehkordi. (2016) Rings whose cyclic modules are pure-injective or pure-projective. Journal of Algebra 460, pages 128-142.
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L. Mao & H. Zhu. (2016) Relative Extensions of Modules and Homology Groups. Ukrainian Mathematical Journal 67:9, pages 1386-1399.
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Alberto Facchini & Ali Moradzadeh-Dehkordi. (2014) Rings over which every RD -projective module is a direct sums of cyclically presented modules. Journal of Algebra 401, pages 179-200.
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