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Просмотр по автору "Koreshkov N."

Просмотр по автору "Koreshkov N."

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  • Koreshkov N. (2014)
    In the paper,we study algebras having n bilinearmultiplication operations [InlineMediaObject not available: see fulltext.]: A×A → A, s = 1, ..., n, such that (a[InlineMediaObject not available: see fulltext.]b) [InlineMediaObject ...
  • Koreshkov N. (2010)
    In this paper, we describe finite-dimensional homogeneously simple algebras of associative type whose 1-component is a full matrix algebra. In addition, we prove that a finite-dimensional division ring of associative type ...
  • Koreshkov N. (2011)
    We prove that every finite-dimensional homogeneously simple associative algebra over an algebraically closed field is representable as the product of a full matrix algebra and a graded field. © Allerton Press, Inc., 2011.
  • Koreshkov N. (2017)
    © 2017, Allerton Press, Inc.We prove that simple Lie pencils of rank 1 over an algebraically closed field P of characteristic 0 with operators of left multiplication being derivations are of the form of a sandwich algebra ...
  • Koreshkov N. (2010)
    In the paper, some properties of algebras of associative type are studied, and these properties are then used to describe the structure of finite-dimensional semisimple modular Lie algebras. It is proved that the homogeneous ...
  • Koreshkov N. (2013)
    We prove some analogs of the Lie and Engel theorems for n-tuple Lie algebras. Furthermore, we establish existence of Cartan subalgebras in the n-tuple Lie algebras. © 2013 Pleiades Publishing, Ltd.
  • Koreshkov N. (2013)
    We obtain a classification of 2- and 3-dimensional Lie sheaves. © 2013 Allerton Press, Inc.
  • Koreshkov N. (2010)
    We obtain conditions for the nilpotency of finite-dimensional n-tuple Lie algebras and finite-dimensional associative n-tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie ...
  • Koreshkov N. (2007)
    In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is proved. Moreover, it is shown that every semisimple algebra of associative type with ordered grading and one-dimensional grading ...
  • Al'pin Y.; Koreshkov N. (2000)
    Two necessary and sufficient criteria for the simultaneous triangulability of two complex matrices are established. Both of them admit a finite verification procedure. To prove the first criterion, classical theorems from ...
  • Koreshkov N. (2014)
    We classify simple Lie sheaves of dimension at most 4. © 2014 Pleiades Publishing, Ltd.
  • Koreshkov N. (2017)
    © 2017, Allerton Press, Inc. We describe simple sandwich algebras with maximal multiplication space.
  • Koreshkov N. (2016)
    © 2016, Pleiades Publishing, Ltd.In terms of sandwich algebras, we obtain a classification of symmetrical simple Lie sheaves over an algebraically closed field of zero characteristic.
  • Koreshkov N. (2016)
    © 2016, Allerton Press, Inc.We prove that in any simple Lie pencil over an algebraically closed field there exists a maximal torus.
  • Koreshkov N. (2012)
    We prove an analog of the Lie theorem for finite-dimensional n-tuple solvable Lie algebras over an algebraically closed field of characteristic 0. © 2012 Allerton Press, Inc.

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