Article

Lattice and Algebra Homomorphisms on C(X) in Zermelo-Fraenkel Set Theory

Published in: Quaestiones Mathematicae
Volume 38 , issue 6 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 835–839

DOI: 10.2989/16073606.2014.981741

Author(s): Karim Boulabiar Laboratoire de Recherche LATAO, Département de Mathématiques, Faculté des Sciences de Tunis, Tunisia,

Keywords: 54C30, 46E05, 46E25, 54C30, 46E05, 46E25,

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Abstract

Let C (X) denote the lattice-ordered algebra of all real-valued continuous functions on a topological space X. This paper discusses in Zermelo-Fraenkel Set Theory the equivalence on C (X) between algebra homomorphisms, lattice homo- morphisms, and point evaluations.

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Lattice and Algebra Homomorphisms on C(X) in Zermelo-Fraenkel Set Theory

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