On Topological Spaces X Determined by the Torsion Elements of C(X)

Authors

  • Ali Rezaei Aliabad
  • Mansoor Motamedi

DOI:

https://doi.org/10.30495/jme.v7i0.212

Keywords:

Group of units of C(X), torsion subgroup, socle of a group, maximal subgroup, Frattini subgroup, P-filter, Pultrafilter

Abstract

Let C(X) be the ring of real continuous functions on aTychonoff space X and T(X) be the set of all torsion elements of C(X).We prove that if X and Y are two zero dimensional compact spaces,then X ' Y if and only if the rings generated by T(X) and T(Y ) areisomorphic.

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Published

2014-02-09

Issue

Vol. 7

Section

Vol. 7, No. 3, (2013)

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