Non-commutative discrete hypervaluation
Kh. Mirdar Harijani, Seid Mohammad Anvariyeh · Journal of mathematical extension. · 2019
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.