Hashemi, Jamal; Yari, Hossein(Universitat Politècnica de València, 2024-10-01)
[EN] In this article, 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 ...
Kharbhih, John Paul Jala; Dutta, Sanghita(Universitat Politècnica de València, 2020-10-01)
[EN] 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 ...
Mitra, Biswajit; Chowdhury, Debojyoti(Universitat Politècnica de València, 2021-04-01)
[EN] 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 ...