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Primitivity rank of elements of free algebras of Schreier varieties

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Publication:2788577
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DOI10.1142/S0219498816500365zbMath1395.17007MaRDI QIDQ2788577

Andrey Klimakov

Publication date: 19 February 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)


zbMATH Keywords

primitive elementsfree algebrasalmost primitive elementsprimitivity rank


Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Identities, free Lie (super)algebras (17B01) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)


Related Items

Primitivity rank for random elements in free groups, Primitive and almost primitive elements of Schreier varieties



Cites Work

  • Unnamed Item
  • Almost primitive elements of free nonassociative (anti)commutative algebras of small rank
  • Primitive words, free factors and measure preservation.
  • Die Unterringe der freien Lieschen Ringe
  • Combinatorial methods. Free groups, polynomials, and free algebras
  • Test words, generic elements and almost primitivity
  • Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property
  • Generic, almost primitive and test elements of free Lie algebras
  • On Almost Primitive Elements of Free Groups With an Application to Fuchsian Groups
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