N-pure ideals and mid rings

DOI10.4134/BKMS.B210694zbMath1502.13008arXiv2011.02134MaRDI QIDQ5038963

Mohsen Aghajani

Publication date: 9 October 2022

Full work available at URL: https://arxiv.org/abs/2011.02134

zbMATH Keywords

von Neumann regular ringzero-dimensional ringpure idealmp-ringp.f. ring\(N\)-pure idealmid ring

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Projectivity of pure ideals
• Algebra in a localic topos with applications to ring theory
• Pure ideals in commutative reduced Gelfand rings with unity
• Characterizations of Gelfand rings specially clean rings and their dual rings
• Notes on finitely generated flat modules
• On purely-prime ideals with applications

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