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On lattice homomorphisms in Riesz spaces

Functional Analysis 2020-07-28 v1

Abstract

In this paper, we study the connextion between lattice and Riesz homomorphisms in Riesz spaces. We prove, under a certain condition, that any lattice homomorphism on Riesz space is a Riesz homomorphism. This fits in the type of results by Mena and Roth [7], thanh [9], Lochan and Strauss [5] and Ercan and Wickstead [2].

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Cite

@article{arxiv.2007.13226,
  title  = {On lattice homomorphisms in Riesz spaces},
  author = {Elmiloud Chil and Fateh Mekdour},
  journal= {arXiv preprint arXiv:2007.13226},
  year   = {2020}
}

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