On Divisible and Torsionfree Modules

DOI10.1080/00927870701724201zbMath1144.16008OpenAlexW2084575148MaRDI QIDQ5456521

Li-Xin Mao, Nan Qing Ding

Publication date: 8 April 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701724201

zbMATH Keywords

coversflat modulesenvelopesinjective modulescoherent ringsdivisible modulestorsionfree modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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On Copure Projective Modules and Copure Projective Dimensions, Notes on Divisible and Torsionfree Modules, On some flatness properties over commutative rings, RD-projective module whose subprojectivity domain is minimal, On injective and divisible modules., On minimal absolutely pure domain of RD-flat modules, SOME RESULTS ON TORSIONFREE MODULES, On $\mathscr{C}$-coherent rings, strongly $\mathscr{C}$-coherent rings and $\mathscr{C}$-semihereditary rings, Properties of \(P\)-coherent and Baer modules., On global \(\mathscr{C}\)-dimensions, On slightly P-coherent rings, Envelopes and Covers by n-Absolutely Pure Modules, On \(P\)-coherent endomorphism rings., On Strongly Copure Flat Modules and Copure Flat Dimensions, Relative coherent modules and semihereditary modules, C(X): Something old and something new, Torsion-free, Divisible, and Mittag-Leffler Modules, Rd-phantom and RD-Ext-phantom morphisms, On subinjectivity domains of RD-injective modules

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