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1.
A result of Krasner in categorial form
Alessandro Linzi, 2023, original scientific article

Keywords: valuation, completion, field, hyperfield, category theory
Published in RUNG: 11.12.2023; Views: 1979; Downloads: 7
.pdf Full text (347,74 KB)
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2.
A new symmetry in valuation theory
Alessandro Linzi, 2023, published scientific conference contribution abstract

Keywords: valuation, valued field, p-adic numbers, hyperfield
Published in RUNG: 27.06.2023; Views: 1833; Downloads: 9
.pdf Full text (405,62 KB)

3.
Valuations on structures more general than fields
Alessandro Linzi, 2023, published scientific conference contribution

Keywords: hyperfield, valuation, valued field, tropical hyperfield
Published in RUNG: 27.06.2023; Views: 2001; Downloads: 16
.pdf Full text (276,86 KB)
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4.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, unpublished conference contribution

Keywords: hyperfield, valued field, model theory, quantifier elimination, valuation, subhyperfield
Published in RUNG: 10.10.2022; Views: 2597; Downloads: 0
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5.
Orderings and valuations in hyperfields
Katarzyna Kuhlmann, Alessandro Linzi, Hanna Stojałowska, 2022, original scientific article

Keywords: hyperfields, hyperring, ordering, valuation
Published in RUNG: 28.09.2022; Views: 2003; Downloads: 0
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6.
Quotient Structures of BCK/BCI-Algebras Induced by Quasi-Valuation Maps
Hashem Bordbar, Young Bae Jun, Seok Zun Song, 2018, original scientific article

Abstract: Relations between I-quasi-valuation maps and ideals in BCK/BCI -algebras are investigated. Using the notion of an I-quasi-valuation map of a BCK/BCI-algebra, the quasi-metric space is induced, and several properties are investigated. Relations between the I-quasi-valuation map and the I-valuation map are considered, and conditions for an I-quasi-valuation map to be an I-valuation map are provided. A congruence relation is introduced by using the I-valuation map, and then the quotient structures are established and related properties are investigated. Isomorphic quotient BCK/BCI-algebras are discussed.
Keywords: ideal, I-quasi-valuation map, I-valuation map, quasi-metric
Published in RUNG: 01.12.2019; Views: 3706; Downloads: 0
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