Displaying similar documents to “Erratum to: 'C(X) vs. C(X) modulo its socle' (Colloq. Math. 111 (2008), 315-336)”

On some ideal related to the ideal (v 0 )

Piotr Kalemba (2015)

Open Mathematics

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The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).

On clean ideals.

Chen, Huanyin, Chen, Miaosen (2003)

International Journal of Mathematics and Mathematical Sciences

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z⁰-Ideals and some special commutative rings

Karim Samei (2006)

Fundamenta Mathematicae

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In a commutative ring R, an ideal I consisting entirely of zero divisors is called a torsion ideal, and an ideal is called a z⁰-ideal if I is torsion and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We prove that in large classes of rings, say R, the following results hold: every z-ideal is a z⁰-ideal if and only if every element of R is either a zero divisor or a unit, if and only if every maximal ideal in R (in general, every prime z-ideal)...