On (m,n)-Injective Modules and (m,n)-Coherent Rings

DOI10.1142/S1005386705000143zbMath1071.16001OpenAlexW2005383411WikidataQ114072174 ScholiaQ114072174MaRDI QIDQ4662389

Juan Zhang, Jian-Long Chen, Xiao Xiang Zhang

Publication date: 30 March 2005

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

Full work available at URL: https://doi.org/10.1142/s1005386705000143

zbMATH Keywords

finitely presented modules\((m,n)\)-injective modules\((m,n)\)-coherent rings\((m,n)\)-flat modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (14)

G-morphic rings and G-regular rings. ⋮ On some flatness properties over commutative rings ⋮ Injective and coherent endomorphism rings relative to some matrices ⋮ Slightly (m, n)-coherent rings and (m, n)-homological dimensions ⋮ Unnamed Item ⋮ Properties of Modules and Rings Relative to Some Matrices ⋮ On $\mathscr{C}$-coherent rings, strongly $\mathscr{C}$-coherent rings and $\mathscr{C}$-semihereditary rings ⋮ Coherence and Generalized Morphic Property of Triangular Matrix Rings ⋮ \(I\)-\(n\)-coherent rings, \(I\)-\(n\)-semihereditary rings, and \(I\)-regular rings. ⋮ On slightly P-coherent rings ⋮ On Divisible and Torsionfree Modules ⋮ (m,n)-Injective and (m,n)-coherent endomorphism rings of modules ⋮ Relative coherent modules and semihereditary modules ⋮ C(X): Something old and something new

Cites Work

• Unnamed Item
• Commutative coherent rings
• Rings which have flat injective modules
• Involutory functions and Moore-Penrose inverses of matrices in an arbitrary field
• ON (m, n)-INJECTIVITY OF MODULES
• A Note on Absolutely Pure Modules
• Onn-Coherent rings

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