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Associate, Hyperdomainlike, and Presimplifiable Hyperrings

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  • Agboola Adesina Abdul Akeem
  • Davvaz Bijan

Abstract

Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.

Suggested Citation

  • Agboola Adesina Abdul Akeem & Davvaz Bijan, 2014. "Associate, Hyperdomainlike, and Presimplifiable Hyperrings," Journal of Mathematics, Hindawi, vol. 2014, pages 1-7, August.
    • Handle: RePEc:hin:jjmath:458603
    DOI: 10.1155/2014/458603
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    References listed on IDEAS

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    1. Marc Krasner, 1983. "A class of hyperrings and hyperfields," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-5, January.
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