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Upgrade of algebraic structure of ring

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Fuzzy Information and Engineering

Abstract

In order to construct nonregular power rings, the concept of regular semi-ideal with respect to a subring is introduced. Then several constructive theorems of HX ring and power ring are established and some examples of non-regular power rings are constructed which contain some nonregular HX rings.

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Authors and Affiliations

  1. School of Mathematics Sciences, Liaocheng University, Liaocheng, 252059, P.R.China

    Bing-xue Yao

  2. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P.R.China

    Yu-bin Zhong

Authors
  1. Bing-xue Yao
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  2. Yu-bin Zhong
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Corresponding author

Correspondence to Yu-bin Zhong.

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Cite this article

Yao, Bx., Zhong, Yb. Upgrade of algebraic structure of ring. Fuzzy Inf. Eng. 1, 219–228 (2009). https://doi.org/10.1007/s12543-009-0017-x

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  • DOI: https://doi.org/10.1007/s12543-009-0017-x

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