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Communications in Algebra Volume 27, 1999 - Issue 5
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Original Articles

Rings described by various purities

Gennadi Puninski Department of Mathematics, Moscow State Social University, Losinoostrovskaya 24, Moscow, 1071150, Russia E-mail: [email protected]
,
Mike Prest Department of Mathematics, University of Manchester, Oxford Road, Manchester, M139PL, England E-mail: [email protected]
&
Philipp Rothmaler Institut für Logik, Christian-Albrechts-Universität, Kiel, D-24098, Germany; Department of Mathematics, 296 Altgeld Hall, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801, USA E-mail: [email protected] address
Pages 2127-2162 | Received 01 Feb 1997, Published online: 30 Oct 2017

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A. Ghorbani, M. Naji Esfahani & Z. Nazemian. (2017) Some new dimensions of modules and rings. Communications in Algebra 45:8, pages 3353-3364.
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Philipp Rothmaler. (2015) Torsion-free, Divisible, and Mittag-Leffler Modules. Communications in Algebra 43:8, pages 3342-3364.
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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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Walid Al-Kawarit & François Couchot. (2011) Comparison of Some Purities, Flatnesses and Injectivities. Communications in Algebra 39:10, pages 3879-3896.
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François Couchot. (2006) RD-Flatness and RD-Injectivity. Communications in Algebra 34:10, pages 3675-3689.
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Sonia L'innocente, Vera Puninskaya & Carlo Toffalori. (2006) Minimalities and Modules over Dedekind-Like Rings. Communications in Algebra 34:7, pages 2453-2466.
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Articles from other publishers (16)

Yusuf ALAGÖZ & Ali MORADZADEH-DEHKORDI. (2023) HOMOLOGICAL OBJECTS OF MIN-PURE EXACT SEQUENCES. Hacettepe Journal of Mathematics and Statistics, pages 1-14.
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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. (2021) On subinjectivity domains of pure-injective modules. Rocky Mountain Journal of Mathematics 51:4.
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A. Moradzadeh-Dehkordi & S.H. Shojaee. (2017) Rings in which every ideal is pure-projective or FP-projective. Journal of Algebra 478, pages 419-436.
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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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Gena Puninski & Carlo Toffalori. (2015) Some model theory of modules over Bézout domains. The width. Journal of Pure and Applied Algebra 219:4, pages 807-829.
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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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AKEEL RAMADAN MEHDI. (2013) PURITY RELATIVE TO CLASSES OF FINITELY PRESENTED MODULES. Journal of Algebra and Its Applications 12:08, pages 1350050.
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Mike Prest. 2003. 227 253 .
Mike Prest & Gennadi Puninski. (2002) Pure Injective Envelopes of Finite Length Modules over a Generalized Weyl Algebra. Journal of Algebra 251:1, pages 150-177.
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Gennadi Puninski. (2000) Finite Length and Pure-Injective Modules over a Ring of Differential Operators. Journal of Algebra 231:2, pages 546-560.
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T. G. Kucera & Ph. Rothmaler. (2014) Pure-projective modules and positive constructibility. Journal of Symbolic Logic 65:1, pages 103-110.
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Gennadi Puninski. (2014) Cantor-Bendixson Rank of the Ziegler Spectrum Over a Commutative Valuation Domain. Journal of Symbolic Logic 64:4, pages 1512-1518.
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Mike Prest & Gennadi Puninski. (1999) Some model theory over hereditary noetherian domains. Journal of Algebra 211:1, pages 268-297.
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