Note on colon-multiplication domains.

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).

Norms on possibilities. II: More ccc ideals on $2^{ω}$ .

Rosłanowski, Andrzej, Shelah, Saharon (1997)

Journal of Applied Analysis

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P-ideals and F-ideals in rings of continuous functions

David Rudd (1975)

Fundamenta Mathematicae

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Star-invertible ideals of integral domains

Gyu Whan Chang, Jeanam Park (2003)

Bollettino dell'Unione Matematica Italiana

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Let $*$ be a star-operation on $R$ and $*_{s}$ the finite character star-operation induced by $*$ . The purpose of this paper is to study when $* = v$ or $*_{s} = t$ . In particular, we prove that if every prime ideal of $R$ is $*$ -invertible, then $* = v$ , and that if $R$ is a unique $*$ -factorable domain, then $R$ is a Krull domain.