Tensor product of $f$-rings

Mohamed Amine Ben Amor

arXiv:1709.05730·math.RA·September 19, 2017

Tensor product of $f$-rings

Mohamed Amine Ben Amor

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TL;DR

This paper proves that the tensor product of archimedean $f$-rings results in an $f$-ring and uses this to characterize multiplicative $ell$-bimorphisms between unital $f$-rings.

Contribution

It establishes that the $ell$-group tensor product of archimedean $f$-rings is itself an $f$-ring, providing a new structural insight.

Findings

01

Tensor product of archimedean $f$-rings is an $f$-ring.

02

Characterization of multiplicative $ell$-bimorphisms.

03

Enhanced understanding of $f$-ring tensor structures.

Abstract

In this paper we prove that $ℓ$ -group tensor product of archimedean $f$ -rings is an $f$ -ring. We will use this result to characterize multiplicative $ℓ$ -bimorphisms between unital $f$ -rings.

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