Výsledky vyhledávání - "rings of continuous functions"

Akademický článek

A generalization of strongly irreducible ideals with a view towards rings of continuous functions

Autor: Jamal Hashemi, Hossein Yari

Publikováno v: Applied General Topology, Vol 25, Iss 2, Pp 491-501 (2024)

In this note, we introduce and study the concept of a semi-strongly irreducible ideal, a natural generalization of a strongly irreducible ideal. We say an ideal I of a commutative ring R is semi-strongly irreducible if for ideals J and K of R, the in

Externí odkaz: https://doaj.org/article/8ac4621be3e446c69fdd0a169b826083

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Akademický článek

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Akademický článek

Ideal spaces

Autor: Biswajit Mitra, Debojyoti Chowdhury

Publikováno v: Applied General Topology, Vol 22, Iss 1, Pp 79-89 (2021)

Let C∞ (X) denote the family of real-valued continuous functions which vanish at infinity in the sense that {x ∈ X : |f(x)| ≥ 1/n} is compact in X for all n ∈ N. It is not in general true that C∞ (X) is an ideal of C(X). We define those spa

Externí odkaz: https://doaj.org/article/9cbc53e28d27409784313efe0a3f103a

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Akademický článek

Closure formula for ideals in intermediate rings

Autor: John Paul Jala Kharbhih, Sanghita Dutta

Publikováno v: Applied General Topology, Vol 21, Iss 2, Pp 195-200 (2020)

In this paper, we prove that the closure formula for ideals in C(X) under m topology holds in intermediate ring also, i.e. for any ideal I in an intermediate ring with m topology, its closure is the intersection of all the maximal ideals containing I

Externí odkaz: https://doaj.org/article/b84c3beb54794ec29d01c2e90ce04b37

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