Coherence and Generalized Morphic Property of Triangular Matrix Rings

DOI10.1080/00927872.2013.808650zbMath1293.16025OpenAlexW2091541933MaRDI QIDQ5417946

Qiongling Liu, Jian-Long Chen

Publication date: 23 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.808650

zbMATH Keywords

Bézout ringscoherent ringsupper triangular matrix ringsgeneralized morphic rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Divisibility, noncommutative UFDs (16U30) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (8)

Coherent quivers ⋮ Ding modules and dimensions over formal triangular matrix rings ⋮ Comorphic rings ⋮ On \(n\)-phantom and \(n\)-ext-phantom morphisms ⋮ Rings described by some special morphisms of modules ⋮ Phantom envelopes and Ext-phantom covers of modules ⋮ C(X): Something old and something new ⋮ Gorenstein flat modules and dimensions over formal triangular matrix rings

Cites Work

• Commutative coherent rings
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• Rings with the dual of the isomorphism theorem.
• Finite conductor rings
• QUASI-MORPHIC RINGS
• LEFT QUASI-MORPHIC RINGS
• Characterizations of coherent rings
• On (m,n)-Injective Modules and (m,n)-Coherent Rings
• Extensions of Injectivity and Coherent Rings
• Generalized Morphic Rings and Their Applications

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