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On the Structure of Maximal Solvable Extensions and of Levi Extensions of Nilpotent Lie Algebras
algebra {mathfrak s} with its nilradical isomorphic to a given nilpotent Lie algebra {mathfrak n}. Next we consider Levi decomposable algebras with a given nilradical the structure of characteristic ideal...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Central nilpotency of skew braces
Skew braces are algebraic structures related to the solutions of the set-theoretic quantum Yang-Baxter equation. We develop the central nilpotency theory for such algebraic structures in the sense...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The Subpower Membership Problem of 2-Nilpotent Algebras
The subpower membership problem SMP(A) of a finite algebraic structure A asks algebra. In particular, this includes many important structures studied in abstract algebra, such as groups, quasigroups, rings...
Pure mathematics
- 2024 •
- D •
- Link
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D - Stať ve sborníku
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Solvable Lie Algebras with Borel Nilradicals
indecomposable solvable extensions of a given class of nilpotent Lie algebras. Specifically in this paper, we consider a nilpotent Lie algebra n that is isomorphic to the nilradicalof the Borel subalgebra of a com...
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Ado theorem for nilpotent Hom-Lie algebras
We prove an analog of the Ado theorem – the existence of a finite-dimensional faithful representation – for a certain kind of finite-dimensional nilpotent Hom-Lie algebras......
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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2-Generated nilpotent algebras and Eggert's conjecture
Let A be commutastive nilpotent finitely-dimensional algebra over a field F of characteristic p>0. We show that the conjecture holds if Ap is at most 2/generated....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Circuit Equivalence in 2-Nilpotent Algebras
of interest in universal algebra, as it models the problem of checking identities in A. In this paper we prove that Ceqv(A) is an element of P, if A is a finite 2-nilpotent algebraThe circuit equivalence problem Ceqv(A) of...
Pure mathematics
- 2024 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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On some applications of certain local algebras in physics
The aim of the article is to describe some applications of the certain local algebra. The article deals with a real linear algebra generated by an nilpotent element. The applications of it in mechanics of solid body and in ...
BE - Teoretická fyzika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
CC-CIRCUITS AND THE EXPRESSIVE POWER OF NILPOTENT ALGEBRAS
as circuits over finite nilpotent algebras from congruence modular varieties. We use this result to phrase a new algebraic version of Barrington, Straubing and Therien's and solving equations in a fixed nilpotent<...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Contraction Admissible Pairs of Complex Six-Dimensional Nilpotent Lie Algebras
All possible pairs of complex six-dimensional nilpotent Lie algebras are considered and necessary contraction conditions are verified. The complete set of the Lie algebra couples that do not admit contraction is obtained....
BA - Obecná matematika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
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