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Orderings and valuations in hyperfields
Hanna Stojałowska, Alessandro Linzi, Katarzyna Kuhlmann, 2022, izvirni znanstveni članek

Najdeno v: osebi
Ključne besede: hyperfields, hyperring, ordering, valuation
Objavljeno: 28.09.2022; Ogledov: 320; Prenosov: 0
.pdf Polno besedilo (265,34 KB)
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3.
The Christi-Kirk Fixed Point Theorem and equivalent principles
Alessandro Linzi, vabljeno predavanje na konferenci brez natisa

Najdeno v: osebi
Ključne besede: ball space, fixed point theorem, metric space, Caristi-Kirk, Oettli-Thera
Objavljeno: 07.10.2022; Ogledov: 263; Prenosov: 0
.pdf Polno besedilo (554,19 KB)

4.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, objavljeni povzetek znanstvenega prispevka na konferenci

Najdeno v: osebi
Ključne besede: hyperfield, valued field, model theory, quantifier elimination
Objavljeno: 07.10.2022; Ogledov: 295; Prenosov: 0
.pdf Polno besedilo (280,75 KB)
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5.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, prispevek na konferenci brez natisa

Najdeno v: osebi
Ključne besede: hyperfield, valued field, model theory, quantifier elimination
Objavljeno: 07.10.2022; Ogledov: 304; Prenosov: 0
.pdf Polno besedilo (305,70 KB)

6.
Krasner hyperfields and the model theory of valued fields
Alessandro Linzi, prispevek na konferenci brez natisa

Najdeno v: osebi
Ključne besede: hyperfield, valued field, model theory, quantifier elimination, valuation, subhyperfield
Objavljeno: 10.10.2022; Ogledov: 256; Prenosov: 0
.pdf Polno besedilo (342,18 KB)
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7.
Structures for relative quantifier elimination in valued fields
Alessandro Linzi, predavanje na tuji univerzi

Najdeno v: osebi
Ključne besede: model theory, quantifier elimination, valued field, hyperfield
Objavljeno: 10.10.2022; Ogledov: 263; Prenosov: 0
.pdf Polno besedilo (220,08 KB)
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8.
Structures for quantifier elimination in valued fields
Alessandro Linzi, prispevek na konferenci brez natisa

Najdeno v: osebi
Ključne besede: quantifier elimination, model theory, valued field, hyperfield
Objavljeno: 10.10.2022; Ogledov: 242; Prenosov: 0
.pdf Polno besedilo (493,14 KB)

9.
Dependence Relations and Grade Fuzzy Set
Alessandro Linzi, Irina Cristea, 2023, izvirni znanstveni članek

Opis: With the aim of developing the recent theory of dependence relations, we elaborate a procedure to measure the strength of the influence of an element on another with respect to a given dependence relation on a finite set. We call this measure the degree of influence. Its definition is based on a partial hyperoperation and a directed graph which we associate with any dependence relation. We compute the degree of influence in various examples and prove some general properties. Among these properties, we find symmetries that have the potential to be applied in the realization of effective algorithms for the computations.
Najdeno v: osebi
Ključne besede: dependence relation, degree of influence, grade fuzzy set, hypercompositional structure, hyperoperation
Objavljeno: 23.01.2023; Ogledov: 159; Prenosov: 0
.pdf Polno besedilo (304,05 KB)

10.
Characteristic, C-characteristic and Positive Cones in Hyperfields
Dawid Edmund Kędzierski, Alessandro Linzi, Hanna Stojałowska, 2023, izvirni znanstveni članek

Opis: We study the notions of positive cone, characteristic and C-characteristic in (Krasner) hyperfields. We show how these interact in order to produce interesting results in the theory of hyperfields. For instance, we give a criterion for deciding whether certain hyperfields cannot be obtained via Krasner's quotient construction. We prove that any positive integer (larger than 1) can be realized as the characteristic of some infinite hyperfield and an analogous result for C-characteristic. Finally, we study the (directed) graph associated to the strict partial order induced by a positive cone in a hyperfield in various examples.
Najdeno v: osebi
Ključne besede: Hyperfield, positive cone, order, characteristic
Objavljeno: 13.02.2023; Ogledov: 101; Prenosov: 0
.pdf Polno besedilo (372,22 KB)

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