More on skew braces and their ideals

Agata Smoktunowicz

doi:10.1090/conm/800

More on skew braces and their ideals

Agata Smoktunowicz

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract / Description of output

This paper introduces the notion of a strongly prime ideal, and shows that the
largest solvable ideal in a finite brace equals the intersection of all strongly prime
ideals in this brace. This is used to generalise some well known results from ring
theory into the context of braces and pre-Lie algebras. Several open questions are
also posed.

Original language	English
Title of host publication	Amitsur Centennial Symposium
Editors	Avinoam Mann, Louis H Rowen, David J Saltman, Aner Shalev, Lance W Small, Uzi Vishne
Publisher	American Mathematical Society
ISBN (Electronic)	978-1-4704-7613-7
ISBN (Print)	978-1-4704-7555-0
DOIs	https://doi.org/10.1090/conm/800
Publication status	Published - 1 May 2024
Event	Amitsur Centennial Symposium - Israel Institute for Advanced Studies (IIAS), Jerusalem, Israel Duration: 1 Nov 2021 → 4 Nov 2021

Publication series

Name	Contemporary Mathematics
Publisher	American Mathematical Society
Volume	800

Conference

Conference	Amitsur Centennial Symposium
Country/Territory	Israel
City	Jerusalem
Period	1/11/21 → 4/11/21

Access to Document

10.1090/conm/800

MoreonbracesandidealsAccepted author manuscript, 208 KB

Cite this

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AB - This paper introduces the notion of a strongly prime ideal, and shows that thelargest solvable ideal in a finite brace equals the intersection of all strongly primeideals in this brace. This is used to generalise some well known results from ringtheory into the context of braces and pre-Lie algebras. Several open questions arealso posed.

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DO - 10.1090/conm/800

M3 - Chapter (peer-reviewed)

SN - 978-1-4704-7555-0

T3 - Contemporary Mathematics

BT - Amitsur Centennial Symposium

A2 - Mann, Avinoam

A2 - Rowen, Louis H

A2 - Saltman, David J

A2 - Shalev, Aner

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T2 - Amitsur Centennial Symposium

Y2 - 1 November 2021 through 4 November 2021

ER -

More on skew braces and their ideals

Abstract / Description of output

Publication series

Conference

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Cite this