Strongly minimal group relics of algebraically closed valued fields

Assaf Hasson; Alf Onshuus; Santiago Pinzon

doi:10.1142/S0219061325500084

Strongly minimal group relics of algebraically closed valued fields

Assaf Hasson, Alf Onshuus, Santiago Pinzon

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We prove Zilber’s trichotomy for reducts of ACVF expanding (K,+) or (K^∗,·).

Original language	American English
Article number	2550008
Journal	Journal of Mathematical Logic
DOIs	https://doi.org/10.1142/S0219061325500084
State	Accepted/In press - 1 Jan 2025

Keywords

ACVF
ACVF-relics
algebraically closed valued fields
strongly minimal sets
Zilber’s trichotomy

All Science Journal Classification (ASJC) codes

Logic

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10.1142/S0219061325500084

Cite this

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title = "Strongly minimal group relics of algebraically closed valued fields",

abstract = "We prove Zilber{\textquoteright}s trichotomy for reducts of ACVF expanding (K,+) or (K∗,·).",

keywords = "ACVF, ACVF-relics, algebraically closed valued fields, strongly minimal sets, Zilber{\textquoteright}s trichotomy",

author = "Assaf Hasson and Alf Onshuus and Santiago Pinzon",

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year = "2025",

month = jan,

day = "1",

doi = "10.1142/S0219061325500084",

language = "American English",

journal = "Journal of Mathematical Logic",

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T1 - Strongly minimal group relics of algebraically closed valued fields

AU - Hasson, Assaf

AU - Onshuus, Alf

AU - Pinzon, Santiago

N1 - Publisher Copyright: © World Scientific Publishing Company.

PY - 2025/1/1

Y1 - 2025/1/1

N2 - We prove Zilber’s trichotomy for reducts of ACVF expanding (K,+) or (K∗,·).

AB - We prove Zilber’s trichotomy for reducts of ACVF expanding (K,+) or (K∗,·).

KW - ACVF

KW - ACVF-relics

KW - algebraically closed valued fields

KW - strongly minimal sets

KW - Zilber’s trichotomy

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U2 - 10.1142/S0219061325500084

DO - 10.1142/S0219061325500084

M3 - Article

SN - 0219-0613

JO - Journal of Mathematical Logic

JF - Journal of Mathematical Logic

M1 - 2550008

ER -

Strongly minimal group relics of algebraically closed valued fields

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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