10 hasil
Menampilkan 1–10 · 0,62 detik · RSS
Journal of Computational Algebra
Scopus
ISSN 2772-8277 · Elsevier · 10 artikel di indeks
-
Artikel Jurnal
An innovative graph polynomial numerical strategy for the time-fractional Kuramoto-Sivashinsky model based on the complete bipartite graph's independence polynomials
The time-fractional Kuramoto-Sivashinsky equation (TF-K-SE) models chaotic dynamics with memory effects, necessitating advanced computational techniques for stability and accuracy. Conventional methods frequently encounter instability, excessive computational costs, and dependence on transformation…
-
Artikel Jurnal
The dynamics of the Hesse derivative on the j-invariant
In this paper, we study the Hesse derivative of a cubic curve on the set of j-invariants, which can be viewed as a rational function on the Riemann sphere. This effect comes in the form of a rational function on the Riemann sphere. We then analyze the dynamics of this rational function, including…
-
Artikel Jurnal
Density of maximal nonassociativity in quadratic nearfields
A quasigroup (Q,⋅) is called maximally nonassociative if for all (x,y,z)∈Q3, the equality (x⋅y)⋅z=x⋅(y⋅z) implies that x=y=z. We follow up on the 2020 article “Maximal nonassociativity via nearfields” by Drápal and Lisoněk, in which the authors first proved the existence of maximally nonassociative…
-
Artikel Jurnal
Cluster tilting modules for local algebras
We give the first example of a non-trivial cluster tilting module over a local finite dimensional algebra. To do this, we give an explicit calculation of the corresponding higher Auslander algebra by quiver and relations using the GAP-package QPA. We discuss related problems and conjectures for…
-
Artikel Jurnal
The fractal symmetry in multiplicative structures of su(2n) with applications to dynamical Lie algebra computation
This work pursues two intertwined objectives. First, it elucidates a nested, cyclic pattern inherent in the multiplication of basis elements within su(2n), revealing a delicate, fractal-like symmetry at the heart of the algebra. Second, building upon this structural insight, it introduces a…
-
Artikel Jurnal
Machine learning mutation-acyclicity of quivers
Machine learning (ML) has emerged as a powerful tool in mathematical research in recent years. This paper applies ML techniques to the study of quivers—a type of directed multigraph with significant relevance in algebra, combinatorics, computer science, and mathematical physics. Specifically, we…
-
Artikel Jurnal
Computing quadratic subfields of number fields
Given a number field, it is an important question in algorithmic number theory to determine all its subfields. If the search is restricted to abelian subfields, we can try to determine them by using class field theory. For this, it is necessary to know the ramified primes. We show that the ramified…
-
Artikel Jurnal
An algorithm to compute the Hausdorff dimension of regular branch groups
An explicit algorithm is given for the computation of the Hausdorff dimension of the closure of a regular branch group in terms of an arbitrary branch structure. We implement this algorithm in GAP and apply it to a family of GGS-groups acting on the 4-adic tree.
-
Artikel Jurnal
A 3-skeleton for a classifying space for the symmetric group
We construct a 3-dimensional cell complex that is the 3-skeleton for an Eilenberg–MacLane classifying space for the symmetric group Sn. Our complex starts with the presentation for Sn with n−1 adjacent transpositions with squaring, commuting, and braid relations, and adds seven classes of 3-cells…
-
Artikel Jurnal
Stable Andrews-Curtis trivialization of AK(3) revisited. A case study using automated deduction
Recent work by Shehper et al. (2024) [13] proposed that the well-known Akbulut–Kirby presentation AK(3) is stably Andrews–Curtis (AC) equivalent to the trivial presentation, based on a reduction to a previously studied presentation P. In this paper, we present an independently obtained reduction of…