On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex

Farrukh Mukhamedov; Otabek Khakimov; Izzat Qaralleh

doi:10.1080/03081087.2023.2262092

On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex

Farrukh Mukhamedov, Otabek Khakimov, Izzat Qaralleh

Department of Mathematical Sciences

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

Abstract

In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras of maximal nilindex, allows the set (Formula presented.) to be investigated. Moreover (Formula presented.) is shown to be a normal subgroup of (Formula presented.), and its corresponding index is calculated.

Original language	English
Pages (from-to)	2379-2390
Number of pages	12
Journal	Linear and Multilinear Algebra
Volume	72
Issue number	14
DOIs	https://doi.org/10.1080/03081087.2023.2262092
Publication status	Published - 2024

Keywords

Evolution algebra
automorphism
derivation
norm algebra

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/03081087.2023.2262092

Cite this

@article{8a2f934b50aa4aa8bc8798ce07663d6a,

title = "On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex",

abstract = "In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras of maximal nilindex, allows the set (Formula presented.) to be investigated. Moreover (Formula presented.) is shown to be a normal subgroup of (Formula presented.), and its corresponding index is calculated.",

keywords = "Evolution algebra, automorphism, derivation, norm algebra",

author = "Farrukh Mukhamedov and Otabek Khakimov and Izzat Qaralleh",

note = "Publisher Copyright: {\textcopyright} 2023 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2024",

doi = "10.1080/03081087.2023.2262092",

language = "English",

volume = "72",

pages = "2379--2390",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

number = "14",

}

TY - JOUR

T1 - On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex

AU - Mukhamedov, Farrukh

AU - Khakimov, Otabek

AU - Qaralleh, Izzat

PY - 2024

Y1 - 2024

N2 - In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras of maximal nilindex, allows the set (Formula presented.) to be investigated. Moreover (Formula presented.) is shown to be a normal subgroup of (Formula presented.), and its corresponding index is calculated.

AB - In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras of maximal nilindex, allows the set (Formula presented.) to be investigated. Moreover (Formula presented.) is shown to be a normal subgroup of (Formula presented.), and its corresponding index is calculated.

KW - Evolution algebra

KW - automorphism

KW - derivation

KW - norm algebra

UR - http://www.scopus.com/inward/record.url?scp=85173076141&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85173076141&partnerID=8YFLogxK

U2 - 10.1080/03081087.2023.2262092

DO - 10.1080/03081087.2023.2262092

M3 - Article

AN - SCOPUS:85173076141

SN - 0308-1087

VL - 72

SP - 2379

EP - 2390

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 14

ER -

On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this