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Noetherian and Artinian BL-algebras

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Abstract

In this paper we introduced the notion of Noetherian and Artinian BL-algebras, using the model of rings. We obtained some equivalent definitions of Noetherian and Artinian BL-algebras and proved the Anderson and Cohen theorems of rings theory in BL-algebra. After that, we study the Noetherian and Artinian over product of two BL-algebras.

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Acknowledgment

The authors would like to express their thanks to the referees for their comments and suggestions which improved the paper.

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Authors and Affiliations

  1. Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran

    Somayeh Motamed

  2. Department of Mathematics, Hormozgan University, Bandar Abbas, Iran

    Javad Moghaderi

Authors
  1. Somayeh Motamed
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  2. Javad Moghaderi
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Correspondence to Somayeh Motamed.

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Motamed, S., Moghaderi, J. Noetherian and Artinian BL-algebras. Soft Comput 16, 1989–1994 (2012). https://doi.org/10.1007/s00500-012-0876-7

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  • DOI: https://doi.org/10.1007/s00500-012-0876-7

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