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Hahn–Banach theorems for MV-algebras

Soft Computing volume 16, pages 1845–1850 (2012)Cite this article

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Abstract

We introduce the MV-seminorms and we prove Hahn–Banach type extension results for linear functions and MV-algebra homomorphisms dominated by MV-seminorms.

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Acknowledgments

This work was supported by the strategic Grant POSDRU/89/1.5/S/58852, Project "Postdoctoral programme for training scientific researchers" cofinanced by the European Social Found within the Sectorial Operational Program Human Resources Development 2007–2013.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, C.P. 010014, Bucharest, Romania

    Ioana Leuştean

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  1. Ioana Leuştean
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Correspondence to Ioana Leuştean.

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Leuştean, I. Hahn–Banach theorems for MV-algebras. Soft Comput 16, 1845–1850 (2012). https://doi.org/10.1007/s00500-012-0835-3

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  • DOI: https://doi.org/10.1007/s00500-012-0835-3

Keywords

  • MV-algebra
  • Riesz space
  • Hahn–Banach theorem
  • MV-seminorm