Some results on pure ideals and trace ideals of projective modules

DOI10.1007/s40306-021-00451-0zbMath1494.14002arXiv2002.10139OpenAlexW3203726532MaRDI QIDQ2141412

Abolfazl Tarizadeh

Publication date: 25 May 2022

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10139

zbMATH Keywords

projective modulepure idealtrace ideal

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Ideals and multiplicative ideal theory in commutative rings (13A15) Relevant commutative algebra (14A05) Injective and flat modules and ideals in commutative rings (13C11) Stability for projective modules (19A13)

Related Items (2)

Upper topology and its relation with the projective modules ⋮ Structural results on lifting, orthogonality and finiteness of idempotents

Cites Work

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• Structural results on harmonic rings and lessened rings
• Characterizations of Gelfand rings specially clean rings and their dual rings
• The trace of the canonical module
• Finiteness in projective ideals
• Notes on finitely generated flat modules
• Projective modules and their trace ideals
• A Remark on Pure Ideals and Projective Modules.
• On purely-prime ideals with applications
• On Finitely Generated Flat Modules
• On Trace for Modules
• Maximal Orders

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