781. Is pupil response to speech and music in toddlers with cochlear implants asymmetric?Amanda Saksida, Marta Fantoni, Sara Ghiselli, Eva Orzan, 2025, original scientific article Keywords: ear advantage, cochlear implants, toddlers, pupillometry, listening efort, speech perception, music perception, auditory lateralization
Published in DiRROS: 22.10.2025; Views: 208; Downloads: 85
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784. Parallels between quaternionic and matrix NullstellensätzeJaka Cimprič, 2025, original scientific article Abstract: We prove a new quaternionic and a new matrix Nullstellensatz. We also show that both theories are intertwined. For every $g_1, \ldots, g_m, f \in {\mathbb H}[x_1, \ldots, x_d]$ (where $x_1, \ldots, x_d$ are central), we show that the following are equivalent: (a) For every $a \in {\mathbb H}^d$ whose components pairwise commute and which satisfies $g_1(a) = \cdots = g_m(a) = 0$, we have $f(a) = 0$. (b) $f$ belongs to the smallest semiprime left ideal containing $g_1, \ldots, g_m$. On the other hand, for every $G_1, \ldots, G_m, F \in M_n({\mathbb k}[x_1, \ldots, x_d])$, where ${\mathbb k}$ is an algebraically closed field, we show that the following are equivalent (where $I$ is the left ideal generated by $G_1, \ldots, G_m$): (a) For every $a \in {\mathbb k}^d$ and $v \in {\mathbb k}^n$ such that $G_1(a)v = \ldots = G_m(a)v = 0,$ we have $F(a)v = 0$. (b) For every $A \in M_n({\mathbb k})$ there exists $N \in \mathbb{N}_0$ such that $(AF)^N \in I + I(AF) + \ldots + I(AF)^N.$
Keywords: Hilbert's Nullstellensatz, matrix polynomials, quaternionic polynomials, one-sided ideals, free modules
Published in DiRROS: 21.10.2025; Views: 139; Downloads: 77
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786. Dataset for the article Sequestration capacity of bio-based ashes and influence of carbonation on the leaching behavior depending on their mineralogical compositionSara Tominc, Majda Pavlin, Lea Žibret, Vilma Ducman, Ottosen Lisbeth M., 2025, complete scientific database of research data Abstract: The dataset supports the data presented in the tables and figures of the scientific article Sequestration capacity of bio-based ashes and influence of carbonation on the leaching behavior depending on their mineralogical composition (doi: 10.1016/j.ceramint.2025.11.229). It includes calcimetric measurements, XRF, TGA, and XRD analysis data, as well as calculations of CO2 uptake and CO2 sequestration capacity for the analyzed samples. Additionally, it contains original FTIR measurement data, which are not included in the article and serve as supplementary material.
Keywords: enforced carbonation, maximum sequestration capacity, leaching, heavy metals, mineralogy, bio-based ash
Published in DiRROS: 21.10.2025; Views: 139; Downloads: 43
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787. Positive self-commutators of positive operatorsRoman Drnovšek, Marko Kandić, 2025, original scientific article Abstract: We consider a positive operator $A$ on a Hilbert lattice such that its self-commutator $C = A^* A - A A^*$ is positive. If $A$ is also idempotent, then it is an orthogonal projection, and so $C = 0$. Similarly, if $A$ is power compact, then $C = 0$ as well. We prove that every positive compact central operator on a separable infinite-dimensional Hilbert lattice ${\mathcal H}$ is a self-commutator of a positive operator. We also show that every positive central operator on ${\mathcal H}$ is a sum of two positive self-commutators of positive operators.
Keywords: Banach lattices, positive operators, commutators
Published in DiRROS: 20.10.2025; Views: 246; Downloads: 96
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788. Maker-Breaker resolving game played on corona products of graphsTijo James, Sandi Klavžar, Dorota Kuziak, K. S. Savitha, Ambat Vijayakumar, 2025, original scientific article Abstract: The Maker-Breaker resolving game is a game played on a graph $G$ by Resolver and Spoiler. The players taking turns alternately in which each player selects a not yet played vertex of $G$. The goal of Resolver is to select all the vertices in a resolving set of $G$, while that of Spoiler is to prevent this from happening. The outcome $o(G)$ of the game played is one of $\mathcal{R}$, $\mathcal{S}$, and $\mathcal{N}$, where $o(G)=\mathcal{R}$ (resp. $o(G)=\mathcal{S}$), if Resolver (resp. Spoiler) has a winning strategy no matter who starts the game, and $o(G)=\mathcal{N}$, if the first player has a winning strategy. In this paper, the game is investigated on corona products $G\odot H$ of graphs $G$ and $H$. It is proved that if $o(H)\in\{\mathcal{N}, \mathcal{S}\}$, then $o(G\odot H) = \mathcal{S}$. No such result is possible under the assumption $o(H) = \mathcal{R}$. It is proved that $o(G\odot P_k) = \mathcal{S}$ if $k=5$, otherwise $o(G\odot P_k) = \mathcal{R}$, and that $o(G\odot C_k) = \mathcal{S}$ if $k=3$, otherwise $o(G\odot C_k) = \mathcal{R}$. Several results are also given on corona products in which the second factor is of diameter at most $2$.
Keywords: Maker-Breaker game, resolving set, Maker-Breaker resolving game, Maker-Breaker resolving number, corona product of graphs
Published in DiRROS: 20.10.2025; Views: 187; Downloads: 114
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790. Two-generation of traceless matrices over finite fieldsOmer Cantor, Urban Jezernik, Andoni Zozaya, 2025, original scientific article Abstract: We prove that the Lie algebra $\mathfrak{sl}_n(\textbf{F}_q)$ of traceless matrices over a finite field of characteristic ▫$p$▫ can be generated by $2$ elements with exceptions when $(n, p)$ is $(3, 3)$ or $(4,2)$. In the latter cases, we establish curious identities that obstruct $2$-generation.
Keywords: generation, simple Lie algebras, finite fields
Published in DiRROS: 20.10.2025; Views: 214; Downloads: 110
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