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IJMSI 2025, 20(2): 17-29 |
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Linzi A, Stojałowska H. Hypervaluations on Hyperfields and Ordered Canonical Hypergroups. IJMSI 2025; 20 (2) :17-29
URL: http://ijmsi.ir/article-1-2055-en.html
URL: http://ijmsi.ir/article-1-2055-en.html
Abstract:
We study the concept of hypervaluations on hyperfields. The main aim of this paper is to show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of a hypervaluation onto an ordered abelian group (which induces the same valuation hyperring) and an order preserving homomorphism of hypergroups. This implies that the generalization of hypervaluations proposed in [13] can be reduced to the original definition of hypervaluation given by Davvaz and Salasi in [4]. Moreover, we provide counterexamples to some assertions which appear in [13].
Type of Study: Research paper |
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References
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