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A note on the socle of certain types of \(f\)-rings.

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Publication:378434
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zbMath1303.06020MaRDI QIDQ378434

Themba Dube

Publication date: 11 November 2013

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

framesrings of continuous functionssocleminimal ideals


Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25)


Related Items (11)

INTERSECTION OF ESSENTIAL IDEALS IN THE RING OF REAL-VALUED CONTINUOUS FUNCTIONS ON A FRAME ⋮ On ideals of rings of continuous integer-valued functions on a frame ⋮ Unnamed Item ⋮ Zero-divisor graph of real-valued continuous functions on a frame ⋮ Algebraic properties of some factor rings of \(C(X)\) ⋮ Rings in which idempotents generate maximal or minimal ideals ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on weakly Lindelöf frames ⋮ Concerning \(P\)-frames and the Artin-Rees property ⋮ ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS




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