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A type of fuzzy ring

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Abstract

In this study, by the use of Yuan and Lee’s definition of the fuzzy group based on fuzzy binary operation we give a new kind of fuzzy ring. The concept of fuzzy subring, fuzzy ideal and fuzzy ring homomorphism are introduced, and we make a theoretical study their basic properties analogous to those of ordinary rings.

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Authors and Affiliations

  1. Faculty of Science-Art, Department of Mathematics, Gaziosmanpaşa University, 60100, Tokat, Turkey

    Hacı Aktaş & Naim Çağman

Authors
  1. Hacı Aktaş
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  2. Naim Çağman
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Correspondence to Hacı Aktaş.

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Aktaş, H., Çağman, N. A type of fuzzy ring. Arch. Math. Logic 46, 165–177 (2007). https://doi.org/10.1007/s00153-007-0035-5

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  • DOI: https://doi.org/10.1007/s00153-007-0035-5

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