On the archimedean kernels of function rings in pointfree topology

B. Banaschewski; P. Bhattacharjee; J. Walters-Wayland

doi:10.1016/j.topol.2015.12.011

On the archimedean kernels of function rings in pointfree topology

B. Banaschewski
, P. Bhattacharjee
, J. Walters-Wayland

School of Science (Behrend)

Research output: Contribution to journal › Article › peer-review

Abstract

The article explores for which function rings A on a frame L all the archimedean kernels of A are determined by the frame homomorphisms from L. It turns out that, for suitable A, this property is equivalent to three different conditions concerning the relation between A and RL, the ℓ-ring of all continuous real-valued functions on L.

Original language	English (US)
Pages (from-to)	44-50
Number of pages	7
Journal	Topology and its Applications
Volume	200
DOIs	https://doi.org/10.1016/j.topol.2015.12.011
State	Published - Mar 1 2016

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2015.12.011

Cite this

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title = "On the archimedean kernels of function rings in pointfree topology",

abstract = "The article explores for which function rings A on a frame L all the archimedean kernels of A are determined by the frame homomorphisms from L. It turns out that, for suitable A, this property is equivalent to three different conditions concerning the relation between A and RL, the ℓ-ring of all continuous real-valued functions on L.",

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AU - Bhattacharjee, P.

AU - Walters-Wayland, J.

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AB - The article explores for which function rings A on a frame L all the archimedean kernels of A are determined by the frame homomorphisms from L. It turns out that, for suitable A, this property is equivalent to three different conditions concerning the relation between A and RL, the ℓ-ring of all continuous real-valued functions on L.

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On the archimedean kernels of function rings in pointfree topology

Abstract

All Science Journal Classification (ASJC) codes

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