Non-commutative discrete hypervaluation

Authors

  • Kh. Mirdar Harijani
  • Seid Mohammad Anvariyeh Department of Mathematics-Yazd University-Yazd-Iran

DOI:

https://doi.org/10.30495/jme.v13i0.750

Keywords:

division hyperring, hypervaluation hyperring, non-commutative discrete hypervaluation, non-commutative hypervaluation

Abstract

In this paper,the notion of a non-commutative hypervaluation as a generalization of a non-commutative valuation is  introducedand some results are proved in this respect.Also,  we define the notion of a non-commutative hypervaluationover a Krasner hyperfield and some basic results and characterizations are obtained. Finally, we introduce the non-commutative discretehypervaluation of a hyperfield and investigate the important properties.

Author Biography

Seid Mohammad Anvariyeh, Department of Mathematics-Yazd University-Yazd-Iran

Department Of Mathematics-Yazd University

Associate Professor

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Published

2019-01-08

Issue

Vol. 13

Section

Vol. 13, No. 2, (2019)

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