# Zahra KeshtkarShahid Chamran University of Ahvaz | scu · Department of Mathematics

Zahra Keshtkar

PhD

## About

4

Publications

1,251

Reads

**How we measure 'reads'**

A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more

46

Citations

Citations since 2017

Introduction

Zahra Keshtkar currently works at the Department of Mathematics, Shahid Chamran University of Ahvaz. Zahra does research in Topology and Algebra. Their current project is 'The Functionally Countable Subalgebra of C(X)'.

**Skills and Expertise**

## Publications

Publications (4)

We return to the work of Banaschewski and extract from it a theorem of Fuchs, Heinzer, and Olberding. As an application of Fuchs-Heinzer-Olberding's theorem, we generalize a result of Gillman and Kohls. We study pseudo-irreducible ideals and show that every ideal of a pm-ring is the (not necessarily finite) intersection of pairwise comaximal pseudo...

A similar characterization, as the Gelfand-Kolmogoroff theorem for the maximal ideals in C(X), is given for the maximal ideals of Cc(X). It is observed that the zc-ideals in Cc(X) are contractions of the z-ideals of C(X). Using this, it turns out that maximal ideals (respectively, prime zc-ideals) of Cc(X) are precisely the contractions of maximal...

A similar characterization, as the Gelfand-Kolmogoroff theorem for the maximal ideals in C(X), is given for the maximal ideals of Cc(X). It is observed that the zc-ideals in Cc(X) are contractions of the zideals of C(X). Using this, it turns out that maximal ideals (respectively, prime zc-ideals) of Cc(X) are precisely the contractions of maximal i...

The c-realcompact spaces are fully studied and most of the important and well-known properties of realcompact spaces are extended to these spaces. For a zero-dimensional space X, the space υ0X, which is the counterpart of υX, the Hewitt realcompactification of X, is introduced and studied. It is shown that υ0X, which is the smallest c-realcompact s...

## Projects

Project (1)

We Want to study the Functionally countable subalgebra of C(X) which is introduced in the article: "On the Functionally Countable Subalgebra of C(X)" by: M. Ghadermazi, O. A. S. Karamzadeh and M. Namdari.