On purely-prime ideals with applications

DOI10.1080/00927872.2020.1820019zbMath1453.13015arXiv2001.04823OpenAlexW3128665333MaRDI QIDQ5148576

Abolfazl Tarizadeh, Mohsen Aghajani

Publication date: 4 February 2021

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

Full work available at URL: https://arxiv.org/abs/2001.04823

zbMATH Keywords

pure idealGelfand ringmp-ringpurely-maximal idealpurely-prime idealsemi-Noetherian ring

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Spectra in general topology (54B35) Relevant commutative algebra (14A05) Injective and flat modules and ideals in commutative rings (13C11) Presheaves and sheaves in general topology (54B40)

Related Items (max. 100)

Some results on pure ideals and trace ideals of projective modules ⋮ N-pure ideals and mid rings ⋮ Structure theory of p.p. rings and their generalizations ⋮ Structural results on lifting, orthogonality and finiteness of idempotents ⋮ Rickart residuated lattices

Cites Work

• Unnamed Item
• Projectivity of pure ideals
• Algebra in a localic topos with applications to ring theory
• Characterizations of Gelfand rings specially clean rings and their dual rings
• Finiteness in projective ideals
• On the category of profinite spaces as a reflective subcategory
• Notes on finitely generated flat modules
• A Sheaf Representation for Modules with Applications to Gelfand Rings
• Flat topology and its dual aspects
• Finite type epimorphisms of rings

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