On the socle of a commutative ring and Zariski topology

DOI10.1216/rmj.2020.50.707zbMath1440.13021OpenAlexW3028864123MaRDI QIDQ2188464

Ali Taherifar

Publication date: 11 June 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1590739302

zbMATH Keywords

Zariski topologyreduced ringsemiprimitive ringsocle of a ring

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• Algebraic properties of some factor rings of \(C(X)\)
• Intersections of essential (resp. free) maximal ideals of \(C(X)\)
• An innocent theorem of Banaschewski, applied to an unsuspecting theorem of De Marco, and the aftermath thereof
• Intersections of essential minimal prime ideals
• On the Intrinsic Topology and Some Related Ideals of C(X)
• Intersection of essential ideals in $C(X)$
• On the maximal spectrum of commutative semiprimitive rings
• COMMENTS REGARDING d-IDEALS OF CERTAIN f-RINGS
• Essential ideals in subrings of C(X) that contain C*(X)
• C(X) vs. C(X) modulo its socle
• The Space of Minimal Prime Ideals of a Commutative Ring
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal

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