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math.RANov 28, 2014
15
citations (OpenAlex)
authors
  • Ivan Kaygorodov
  • Artem Lopatin
  • Yury Popov
institutions
  • Novosibirsk State University
  • Sobolev Institute of Mathematics
  • Universidade Estadual de Campinas (UNICAMP)
  • Universidade Federal do ABC
arXiv abstractPDF
paper

Conservative algebras of 2-dimensional algebras

arXiv:1411.7744 · doi:10.1016/j.laa.2015.08.011

Abstract

We describe derivations and subalgebras of codimensions 1 of conservative algebras of small dimensions.

References in corpus (6)

  • δ-superderivations of simple finite-dimensional Jordan and Lie superalgebras
  • δ-derivations of simple Jordan algebras and superalgebras
  • δ-derivations of classical Lie superalgebras
  • δ-superderivations of semisimple Jordan superalgebras
  • Conservative algebras of 2-dimensional algebras, II
  • δ-derivations of semisimple structurable algebras

Cited by in corpus (10)

  • The variety of 2-dimensional algebras over an algebraically closed field
  • The algebraic and geometric classification of nilpotent terminal algebras
  • The classification of 2-dimensional rigid algebras
  • Non-associative algebraic structures: classification and structure
  • Conservative algebras of 2-dimensional algebras, II
  • On the Kantor product, II
  • One-generated nilpotent terminal algebras
  • On The Kantor Product
  • The universal conservative superalgebra
  • Conservative algebras of 2-dimensional algebras, IV
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