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Pro-solvable extensions of a generalized positive Witt algebra.

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Τίτλος: Pro-solvable extensions of a generalized positive Witt algebra.
Συγγραφείς: Solijanova, G. O.1 (AUTHOR) gulhayo.solijonova@mail.ru
Πηγή: Journal of Algebra & Its Applications. Sep2026, p1. 17p.
Θεματικοί όροι: *Lie algebras, *Mutations (Algebra)
Περίληψη: This paper is devoted to the study of a natural generalization of the positive Witt algebra. We first show that the algebra under consideration can be realized as a mutation of the positive Witt algebra. We then construct its pro-solvable Lie extensions and analyze their structural properties. Moreover, we prove that these extensions constitute a family of complete pro-solvable Lie algebras. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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PubType: Academic Journal
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  Data: Pro-solvable extensions of a generalized positive Witt algebra.
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  Data: This paper is devoted to the study of a natural generalization of the positive Witt algebra. We first show that the algebra under consideration can be realized as a mutation of the positive Witt algebra. We then construct its pro-solvable Lie extensions and analyze their structural properties. Moreover, we prove that these extensions constitute a family of complete pro-solvable Lie algebras. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/s0219498828500491
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 1
    Subjects:
      – SubjectFull: Lie algebras
        Type: general
      – SubjectFull: Mutations (Algebra)
        Type: general
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      – TitleFull: Pro-solvable extensions of a generalized positive Witt algebra.
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            NameFull: Solijanova, G. O.
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          Dates:
            – D: 19
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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            – Type: issn-print
              Value: 02194988
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            – TitleFull: Journal of Algebra & Its Applications
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