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J. Math. Comput. Sci. 10 (2020), 2820–2828

On semireal hyperrings and real hyperrings

Dongming Huang, Jinping Li

Abstract

The main aim of this paper is to develop the study of hyperrings in real algebra. By introducing the notions of real hyperrings and semireal hyperrings, we obtain some necessary and sufficient conditions for real (semireal) hyperrings. Also, we characterize the minimal prime hyperideals in hyperrings.

Published
21 October 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 Dongming Huang, Jinping Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

D. Huang, J. Li, On semireal hyperrings and real hyperrings, J. Math. Comput. Sci. 10 (2020), 2820–2828. https://doi.org/10.28919/jmcs/5027

BibTeX
@article{Huang2020,
  author  = {Huang, Dongming and Li, Jinping},
  title   = {On semireal hyperrings and real hyperrings},
  journal = {J. Math. Comput. Sci.},
  volume  = {10},
  year    = {2020},
  pages   = {2820--2828},
  doi     = {10.28919/jmcs/5027}
}