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Displaying similar documents to “Note on colon-multiplication domains.”

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).

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.