Mehran, S.; Namdari, M.; Soltanpour, S.(Universitat Politècnica de València, 2018-10-04)
[EN] Spaces X for which the annihilator of Sλ(X), the λ-super socle of C(X) (i.e., the set of elements of C(X) that cardinality of their cozerosets are less than λ, where λ is a regular cardinal number such that λ≤|X|) is ...
Karamzadeh, O. A. S.; Namdari, M.; Soltanpour, S.(Universitat Politècnica de València, 2015-10-01)
[EN] Let $C_c(X)=\{f\in C(X) : |f(X)|\leq \aleph_0\}$, $C^F(X)=\{f\in C(X): |f(X)|<\infty\}$, and $L_c(X)=\{f\in C(X) : \overline{C_f}=X\}$, where $C_f$ is the union of all open subsets $U\subseteq X$ such that ...
Ghasemzadeh, S.; Namdari, M.(Universitat Politècnica de València, 2019-04-01)
[EN] Let SCF(X) denote the ideal of C(X) consisting of functions which are zero everywhere except on a countable number of points of X. It is generalization of the socle of C(X) denoted by CF(X). Using this concept we ...