Zobrazeno 1 - 10
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pro vyhledávání: '"Bell, Jason A."'
Autor:
Bell, Jason, Buzaglo, Lucas
Let $\Bbbk$ be a field of characteristic zero. Motivated by the fundamental question of whether it is possible for the universal enveloping algebra of an infinite-dimensional Lie algebra to be noetherian, we study Lie algebras of derivations of assoc
Externí odkaz:
http://arxiv.org/abs/2411.17972
Soprunov and Soprunova introduced the notion of a good infinite family of toric codes. We prove that such good families do not exist by proving a more general Szemer\'edi-type result: for all $c\in(0,1]$ and all positive integers $N$, subsets of dens
Externí odkaz:
http://arxiv.org/abs/2406.00243
We show that every Sturmian word has the property that the distance between consecutive ending positions of cubes occurring in the word is always bounded by $10$ and this bound is optimal, extending a result of Rampersad, who proved that the bound $9
Externí odkaz:
http://arxiv.org/abs/2402.09597
Autor:
Bell, Jason P., Greenfeld, Be'eri
We study point modules of monomial algebras associated with symbolic dynamical systems, parametrized by proalgebraic varieties which 'linearize' the underlying dynamical systems. Faithful point modules correspond to transitive sub-systems, equivalent
Externí odkaz:
http://arxiv.org/abs/2402.06612
Autor:
Bell, Jason
Let $F$ be an algebraically closed field of positive characteristic and let $R$ be a finitely generated $F$-algebra with a filtration with the property that the associated graded ring of $R$ is an integral domain of Krull dimension two. We show that
Externí odkaz:
http://arxiv.org/abs/2312.05149
Autor:
Bell, Jason, Gorman, Alexi Block
This paper concerns the expansion of the real ordered additive group by a predicate for a subset of $[0,1]$ whose base-$r$ representations are recognized by a B\"uchi automaton. In the case that this predicate is closed, a dichotomy is established fo
Externí odkaz:
http://arxiv.org/abs/2311.11162
Autor:
Bell, Jason, Buzaglo, Lucas
Let $\Bbbk$ be a field of characteristic zero and let $\mathbb{W}_n = \operatorname{Der}(\Bbbk[x_1,\cdots,x_n])$ be the $n^{\text{th}}$ general Cartan type Lie algebra. In this paper, we study Lie subalgebras $L$ of $\mathbb{W}_n$ of maximal Gelfand-
Externí odkaz:
http://arxiv.org/abs/2311.06001
Let $X$ be an algebraic variety equipped with a dominant rational self-map $\phi:X\to X$. A new quantity measuring the interaction of $(X,\phi)$ with trivial dynamical systems is introduced; the stabilised algebraic dimension of $(X,\phi)$ captures t
Externí odkaz:
http://arxiv.org/abs/2306.11108
We prove a result that can be seen as an analogue of the P\'olya-Carlson theorem for multivariate D-finite power series with coefficients in $\bar{\mathbb{Q}}$. In the special case that the coefficients are algebraic integers, our main result says th
Externí odkaz:
http://arxiv.org/abs/2306.02590
Publikováno v:
EPTCS 386, 2023, pp. 35-50
We associate lattices to the sets of unions and intersections of left and right quotients of a regular language. For both unions and intersections, we show that the lattices we produce using left and right quotients are dual to each other. We also gi
Externí odkaz:
http://arxiv.org/abs/2306.02491