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A representation embedding for algebras of infinite type

Autor: Ramos, Raymundo Bautista, Terrazas, Jesús Efrén Pérez, Castro, Leonardo Salmerón

We show that for any finite-dimensional algebra $\Lambda$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $\Gamma$ and a representation embedding from $\Gamma -$mod into $\Lambda -$mod. As an applicati

Externí odkaz: http://arxiv.org/abs/2406.03370

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Akademický článek

On the High Sensitivity of the Electronic States of 1 nm Gold Particles to Pretreatments and Modifiers

Autor: Oxana Martynyuk, Yulia Kotolevich, Rodrigo Vélez, Jesus Efren Cabrera Ortega, Hugo Tiznado, Trino Zepeda Partida, Josué D. Mota-Morales, Alexey Pestryakov, Nina Bogdanchikova

Publikováno v: Molecules, Vol 21, Iss 4, p 432 (2016)

In this paper, the effect of modifiers and pretreatments on the electronic states of 1 nm gold nanoparticles (AuNPs) supported on silica was systematically studied. AuNPs deposited on silica (particle size of 2–4 nm) modified with Ce, La and Fe oxi

Externí odkaz: https://doaj.org/article/23b6456c41d340469e703be7436c90c5

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Generic modules for the category of filtered by standard modules

Autor: Ramos, Raymundo Bautista, Terrazas, Jesús Efrén Pérez, Castro, Leonardo Salmerón

Here we show that, given a finite homological system $({\cal P},\leq,\{\Delta_u\}_{u\in {\cal P}})$ for a finite-dimensional algebra $\Lambda$ over an algebraically closed field, the category ${\cal F}(\Delta)$ of $\Delta$-filtered modules is tame if

Externí odkaz: http://arxiv.org/abs/2110.08999

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A note on homological systems

Autor: Terrazas, Jesús Efrén Pérez

I give an elementary proof of the known fact that the category $\mathfrak{F} \left( \Delta \right)$ of $\Delta -$filtered modules, associated to a given finite homological system $\left( \Delta ; \Omega , \leq \right) ,$ is closed under direct summan

Externí odkaz: http://arxiv.org/abs/2105.02355

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Homological systems and bocses

Autor: Ramos, Raymundo Bautista, Terrazas, Jesús Efrén Pérez, Castro, Leonardo Salmerón

We show that, up to Morita equivalence, any finite-dimensional algebra with a suitable homological system, admits an exact Borel subalgebra. This generalizes a theorem by Koenig, K\"ulshammer and Ovsienko, which holds for quasi-hereditary algebras. O

Externí odkaz: http://arxiv.org/abs/2012.13781

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