Constructions of $(m,n)$-hyperrings

Authors

  • S. Mirvakili Department of Mathematics, Yazd University, Yazd, Iran Author
  • B. Davvaz Department of Mathematics, Yazd University, Yazd, Iran Author

Keywords:

$(m, n)$-hyperring, $n$-ary operation, $n$-ary hyperoperation, $n$-ary hypergroup, fundamental equivalence relation

Subjects:

16Y99

Abstract

In this paper, the class of $(m,n)$-hyperrings is introduced andseveral properties are found and examples are presented.$(m,n)$-hyperrings are a generalization of hyperrings. We definethe fundamental relation $\Gamma^*$ on an $(m,n)$-hyperring $R$such that $R/\Gamma^*$ is the smallest $(m,n)$-ring, and then somerelated properties are investigated.

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Published

2015-01-15

Issue

Vol. 67 No. 1 (2015): Vol. 67, Issue 1

Section

Articles

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Copyright (c) 2015 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.