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pro vyhledávání: '"Skutin, Alexander"'
Autor:
Skutin, Alexander
In this article, we introduce an algorithm for automatic generation and categorization of triangle geometry theorems.
Comment: Improved version
Comment: Improved version
Externí odkaz:
http://arxiv.org/abs/2110.09511
Autor:
Skutin, Alexander
It has been conjectured by Gene Freudenburg that for a polynomial ring, the triangular Lie algebra is the maximal Lie algebra which lies in the set of locally nilpotent derivations of the ring. Also it was conjectured that each other maximal Lie alge
Externí odkaz:
http://arxiv.org/abs/2002.02745
Autor:
Skutin, Alexander
This paper focuses on a new approach to plane geometry and develops important concepts that can allow researchers to unite and observe plane geometry from a new, meaningful perspective.
Externí odkaz:
http://arxiv.org/abs/1908.05084
Autor:
Skutin, Alexander
In this short note we confirm an analog of a conjecture of James Wiegold for finite dimensional nilpotent Lie algebras.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1901.09540
Autor:
Skutin, Alexander
In this short note we confirm a conjecture of James Wiegold. We prove that if $G$ is a finite $p$-group and $|G'|>p^{n(n-1)/2}$ for some non-negative integer $n$, then the group $G$ can be generated by the elements of breadth at least $n$. The breadt
Externí odkaz:
http://arxiv.org/abs/1804.01745
Autor:
Skutin, Alexander
In this article we will represent some ideas and a lot of new theorems in Euclidean plane geometry.
Comment: 19 pages, 15 figures, replaced some facts, corrected typos, final version
Comment: 19 pages, 15 figures, replaced some facts, corrected typos, final version
Externí odkaz:
http://arxiv.org/abs/1704.04923
