Zobrazeno 1 - 10
of 690
pro vyhledávání: '"A. A. Miasnikov"'
Autor:
Kharlampovich, Olga, Miasnikov, Alexei
We describe groups elementarily equivalent to a free metabelian group with n generators.
Comment: arXiv admin note: substantial text overlap with arXiv:2109.13133
Comment: arXiv admin note: substantial text overlap with arXiv:2109.13133
Externí odkaz:
http://arxiv.org/abs/2309.08483
For a finite $\mathbb{Z}$-algebra $R$, i.e., for a ring which is not necessarily associative or unitary, but whose additive group is finitely generated, we construct a decomposition of $R/{\rm Ann}(R)$ into directly indecomposable factors under weak
Externí odkaz:
http://arxiv.org/abs/2308.01735
In this paper we study the Diophantine problem in Chevalley groups $G_\pi (\Phi,R)$, where $\Phi$ is an indecomposable root system of rank $> 1$, $R$ is an arbitrary commutative ring with $1$. We establish a variant of double centralizer theorem for
Externí odkaz:
http://arxiv.org/abs/2304.06259
Publikováno v:
In Journal of Algebra 15 February 2025 664 Part B:206-246
Publikováno v:
Comparative Analysis of Trade and Finance in Emerging Economies
We study systems of polynomial equations in infinite finitely generated commutative associative rings with an identity element. For each such ring $R$ we obtain an interpretation by systems of equations of a ring of integers $O$ of a finite field ext
Externí odkaz:
http://arxiv.org/abs/2012.09787
We study metabelian groups $G$ given by full rank finite presentations $\langle A \mid R \rangle_{\mathcal{M}}$ in the variety $\mathcal{M}$ of metabelian groups. We prove that $G$ is a product of a free metabelian subgroup of rank $\max\{0, |A|-|R|\
Externí odkaz:
http://arxiv.org/abs/2006.06371
Publikováno v:
Quantitative Analysis of Social and Financial Market Development
In this paper we show that Diophantine problem for quadratic equations in Baumslag-Solitar groups $BS(1,k)$ and in wreath products $A \wr \mathbb{Z}$, where $A$ is a finitely generated abelian group and $\mathbb{Z}$ is an infinite cyclic group, is de
Externí odkaz:
http://arxiv.org/abs/1903.10068
We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc), which satisfy some natural "non-commutativity" conditio
Externí odkaz:
http://arxiv.org/abs/1805.04085