Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Velez, Juan D."'
We derive an explicit formula for the fundamental solution $K_{T_{q+1}}(x,x_{0};t)$ to the discrete-time diffusion equation on the $(q+1)$-regular tree $T_{q+1}$ in terms of the discrete $I$-Bessel function. We then use the formula to derive an expli
Externí odkaz:
http://arxiv.org/abs/2208.11733
In this article we develop a general method by which one can explicitly evaluate certain sums of $n$-th powers of products of $d\geq 1$ elementary trigonometric functions evaluated at $\mathbf{m}=(m_1,\ldots,m_d)$-th roots of unity. Our approach is t
Externí odkaz:
http://arxiv.org/abs/2201.07878
Autor:
Gallego, Edisson, Vélez, Juan D., Molina-Aristizabal, Sergio D., Hernandez-Rodas, Juan P., Gómez-Ramírez, Danny A. J.
In this paper we study initial topological properties of the (non-)finitely-generated locus of Frobenius Algebra coming from Stanley-Reisner rings defined through face ideals. More specifically, we will give a partial answer to a conjecture made by M
Externí odkaz:
http://arxiv.org/abs/2105.04782
In this article we develop an algorithm which computes a divisor of an integer $N$, which is assumed to be neither prime nor the power of a prime. The algorithm uses discrete time heat diffusion on a finite graph. If $N$ has $m$ distinct prime factor
Externí odkaz:
http://arxiv.org/abs/2104.11616
Publikováno v:
In European Journal of Combinatorics February 2023 108
We give an elementary proof prove of the preservation of the Noetherian condition for commutative rings with unity $R$ having at least one finitely generated ideal $I$ such that the quotient ring is again finitely generated, and $R$ is $I-$adically c
Externí odkaz:
http://arxiv.org/abs/1709.02748
We prove a general version of Bezout's form of the Nullstellensatz for arbitrary fields. The corresponding sufficient and necessary condition only involves the local existence of multi-valued roots for each of the polynomials belonging to the ideal i
Externí odkaz:
http://arxiv.org/abs/1708.04463
Publikováno v:
Beitraege zur Algebra und Geometrie (Contributions to Algebra and Geometry), 57(3), 697-712 (2016)
This article deals with two different problems in commutative algebra. In the first part, we give a proof of generalized forms of the Direct Summand Theorem (DST (or DCS)) for module-finite extension rings of mixed characteristic $R\subset S$ satisfy
Externí odkaz:
http://arxiv.org/abs/1708.03393
We introduce a new class of commutative rings with unity, namely, the Containment-Division Rings (CDR-s). We show that this notion has a very exceptional origin since it was essentially co-discovered with the qualitative help of a computer program (i
Externí odkaz:
http://arxiv.org/abs/1708.00532
We present a more general (parametric-) homological characterization of the Direct Summand Theorem. Specifically, we state two new conjectures: the Socle-Parameter conjecture (SPC) in its weak and strong forms. We give a proof for the week form by sh
Externí odkaz:
http://arxiv.org/abs/1707.09936