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Codimensions of identities of solvable Lie superalgebras
ID Zaicev, Mikhail (Author), ID Repovš, Dušan (Author)

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Abstract
We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with non-nilpotent commutator subalgebra for which the PI-exponent of codimension growth exists and is an integer number.

Language:English
Keywords:identities, codimensions, Lie superalgebras, PI-exponent
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year:2024
Number of pages:Str. 639–654
Numbering:Vol. 88, iss. 4
PID:20.500.12556/RUL-160383 This link opens in a new window
UDC:512.554
ISSN on article:1064-5632
DOI:10.4213/im9560e This link opens in a new window
COBISS.SI-ID:205232899 This link opens in a new window
Publication date in RUL:27.08.2024
Views:597
Downloads:96
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Record is a part of a journal

Title:Izvestiya : Mathematics
Shortened title:Izv., Math.
Publisher:Steklov Mathematical Institute of RAS
ISSN:1064-5632
COBISS.SI-ID:512243225 This link opens in a new window

Projects

Funder:Other - Other funder or multiple funders
Funding programme:Russian Science Fund
Project number:22-11-00052
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0292
Name:Topologija in njena uporaba
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0278
Name:Biološka koda vozlov - identifikacija vzorcev vozlanja v biomolekulah z uporabo umetne inteligence
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0114
Name:Algebrajski odtisi geometrijskih značilnosti v homologiji
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0083
Name:Forsing, fuzija in kombinatorika odprtih pokritij
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4031
Name:Računalniška knjižnica za zavozlane strukture in aplikacije
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4001
Name:Izbrani problemi iz uporabne in računske topologije

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