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The Subpower Membership Problem for Finite Algebras with Cube Terms [PDF]

open access: diamondLogical Methods in Computer Science, 2019
The subalgebra membership problem is the problem of deciding if a given element belongs to an algebra given by a set of generators. This is one of the best established computational problems in algebra.
Andrei Bulatov   +2 more
doaj   +8 more sources

Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity

open access: goldAxioms
We propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds.
Viktor Abramov
doaj   +2 more sources

Visualizing a Cubic Linkage through the Use of CAS and DGS

open access: yesMathematics, 2022
Our goal is to discuss the different issues that arise when attempting to visualize a joints-and-bars cube through GeoGebra, a widespread program that combines dynamic geometry (DGS) and computer algebra systems (CAS). As is standard in the DGS framework,
Tomás Recio   +3 more
doaj   +1 more source

Perluasan Masalah Isoperimetrik pada Bangun Ruang

open access: yesJambura Journal of Mathematics, 2023
In this paper, several extensions of the isoperimetric problem in solid figures are explored, focusing on oblique and right prisms with rectangular, right-angled triangular, and regular hexagonal bases. The objective of this research is to find the prism
Andri Setiawan   +2 more
doaj   +1 more source

A note on the gap between rank and border rank [PDF]

open access: yes, 2017
We study the tensor rank of the tensor corresponding to the algebra of n-variate complex polynomials modulo the dth power of each variable. As a result we find a sequence of tensors with a large gap between rank and border rank, and thus a counterexample
Zuiddam, Jeroen
core   +8 more sources

On the structure, complexity, and depth of the circuits over the basis {&,˅} realizing step Boolean functions

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2020
The step Boolean function is a function of the algebra of logic of n Boolean variables, n = 1, 2, … , reducing to 1 on all of the sets of an n -dimensional unit cube, the ordinal numbers of which are not lower than the given set.
S.A. Lozhkin, D.S. Kinzhikeyeva
doaj   +1 more source

Asymptotic distribution of traces of singular moduli

open access: yesDiscrete Analysis, 2022
Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
doaj   +1 more source

Algebras of Distributions of Binary Formulas for Theories of Archimedean Solids

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Algebras of distributions of binary isolating and semi-isolating formulas are derived objects for given theory and reflect binary formula relations between realizations of 1-types.
D.Yu. Emelyanov
doaj   +1 more source

Minimal Rational Interpolation and its Application in Fast Broadband Simulation

open access: yesIEEE Access, 2019
Broad bandwidth simulation in frequency domain benefits from fast frequency sweep, and frequency-domain electromagnetic solvers are usually combined with asymptotic wave evaluation or interpolation techniques.
Jun Wei Wu, Tie Jun Cui
doaj   +1 more source

Cubical and cosimplicial descent [PDF]

open access: yes, 2017
We prove that algebraic K-theory, topological Hochschild homology and topological cyclic homology satisfy cubical and cosimplicial descent at connective structured ring spectra along 1-connected maps of such ring ...
Dundas, Bjørn I., Rognes, John
core   +2 more sources

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