Groups, Lie rings and braces

Aner Shalev; Agata Smoktunowicz

doi:https://doi.org/10.36045/j.bbms.230929

Groups, Lie rings and braces

Aner Shalev, Agata Smoktunowicz

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We show that braces whose adjoint groups are powerful and powerful left nilpotent pre-Lie rings are in one-to-one correspondence and that they are right nilpotent under some cardinality assumptions.

Original language	English
Pages (from-to)	422-433
Number of pages	12
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	31
Issue number	4
DOIs	https://doi.org/10.36045/j.bbms.230929
State	Published - Nov 2024

Keywords

Evolution equation with delay
measure of noncompactness
monotone iterative technique
positive mild solution

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.36045/j.bbms.230929

Cite this

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title = "Groups, Lie rings and braces",

abstract = "We show that braces whose adjoint groups are powerful and powerful left nilpotent pre-Lie rings are in one-to-one correspondence and that they are right nilpotent under some cardinality assumptions.",

keywords = "Evolution equation with delay, measure of noncompactness, monotone iterative technique, positive mild solution",

author = "Aner Shalev and Agata Smoktunowicz",

year = "2024",

month = nov,

doi = "https://doi.org/10.36045/j.bbms.230929",

language = "الإنجليزيّة",

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journal = "Bulletin of the Belgian Mathematical Society - Simon Stevin",

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T1 - Groups, Lie rings and braces

AU - Shalev, Aner

AU - Smoktunowicz, Agata

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N2 - We show that braces whose adjoint groups are powerful and powerful left nilpotent pre-Lie rings are in one-to-one correspondence and that they are right nilpotent under some cardinality assumptions.

AB - We show that braces whose adjoint groups are powerful and powerful left nilpotent pre-Lie rings are in one-to-one correspondence and that they are right nilpotent under some cardinality assumptions.

KW - Evolution equation with delay

KW - measure of noncompactness

KW - monotone iterative technique

KW - positive mild solution

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U2 - https://doi.org/10.36045/j.bbms.230929

DO - https://doi.org/10.36045/j.bbms.230929

M3 - مقالة

SN - 1370-1444

VL - 31

SP - 422

EP - 433

JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

IS - 4

ER -

Groups, Lie rings and braces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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