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On properties of fuzzy hyperideals in hypernear-rings with t-Norms

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Abstract

By means of the use of a triangular normT, the notion ofT-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated. Moreover, the notion of Noetherian hypernear-rings is introduced, and its characterization is given. At last, the properties of quotient hypernear-rings andT-fuzzy characteristic hyperideals are discussed.

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Authors and Affiliations

  1. Department of Mathematics, Hubei Institute for Nationalities, 445000, Enshi, Hubei Province, P. R. China

    Jianming Zhan

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  1. Jianming Zhan
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This work was supported by the Education Committee of Hubei Province(2002X10,2004Z002).

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Zhan, J. On properties of fuzzy hyperideals in hypernear-rings with t-Norms. J. Appl. Math. Comput. 20, 255–277 (2006). https://doi.org/10.1007/BF02831937

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  • DOI: https://doi.org/10.1007/BF02831937

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