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Analele Universitatii "Ovidius" Constanta - Seria Matematica

The Journal of "Ovidius" University of Constanta

Editor-in-Chief: Flaut, Cristina

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Composition hyperrings

Irina Cristea
  • Corresponding author
  • Centre for Systems and Information Technologies, University of Nova Gorica SI-5000, Vipavska 13, Nova Gorica, Slovenia
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/ Sanja Jančić-Rašović
  • Department of Mathematics, Faculty of Natural Science and Mathematics, University of Montenegro, Dzordza Vasingtona bb, 81000 Podgorica, Montenegro
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Published Online: 2013-09-19 | DOI: https://doi.org/10.2478/auom-2013-0024

Abstract

In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms. Finally, the three isomorphism theorems of ring theory are derived in the context of com- position hyperrings.

Keywords: Hyperring; Hyperideal; Multiendomorphism; Composition hyperoperation

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About the article

Published Online: 2013-09-19

Published in Print: 2013-06-01


Citation Information: Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN (Online) 1844-0835, DOI: https://doi.org/10.2478/auom-2013-0024.

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