Non-commutative discrete hypervaluation

Kh. Mirdar Harijani, Seid Mohammad Anvariyeh

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.

Keywords


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

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