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Magnifying elements and factorization of ordered semigroups

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Abstract

This note defines the left magnifying and the strongly left magnifying elements in an ordered groupoid and discusses their properties. It is shown that in an ordered semigroup, every left magnifying element is of infinite order. The concept of factorizable ordered semigroups has been also introduced and, using the infinite order property, it is shown that every ordered semigroup having a strongly left magnifying element is factorizable.

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Authors and Affiliations

  1. Department of Mathematics, University of Athens, Panepistimiopolis, 15784, Greece

    Niovi Kehayopulu

  2. Department of Electrical and Computer Engineering Polytechnic Faculty, University of Patras, Rio Campus, Patras, 26504, Greece

    Michael Tsingelis

Authors
  1. Niovi Kehayopulu
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  2. Michael Tsingelis
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Correspondence to Niovi Kehayopulu.

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Dedicated to Professor James B. Nation.

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This article is part of the topical collection “Algebras and Lattices in Hawaii” edited by W. DeMeo.

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Kehayopulu, N., Tsingelis, M. Magnifying elements and factorization of ordered semigroups. Algebra Univers. 80, 39 (2019). https://doi.org/10.1007/s00012-019-0614-4

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  • DOI: https://doi.org/10.1007/s00012-019-0614-4

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