Results 11 to 20 of about 1,260 (192)

Boolean Reducts of Relation and Cylindric Algebras and the Cube Problem [PDF]

open access: yesProceedings of the American Mathematical Society, 1987
It is shown that not every Boolean algebra is the Boolean part of a nondiscrete relation or cylindric algebra, but every nonatomless Boolean algebra is. Solutions of Tarski’s Cube Problem for nondiscrete relation and cylindric algebras are given.
H. Andréka
openaire   +3 more sources

Radical cube zero weakly symmetric algebras and support varieties [PDF]

open access: yesJournal of Pure and Applied Algebra, 2011
One of our main results is a classification all the weakly symmetric radical cube zero finite dimensional algebras over an algebraically closed field having a theory of support via the Hochschild cohomology ring satisfying Dade's Lemma. Along the way we give a characterization of when a finite dimensional Koszul algebra has such a theory of support in ...
Erdmann, K, Solberg, O
openaire   +5 more sources

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

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

The Terwilliger algebra of the halved cube

open access: yes, 2021
Let $D\geq 3$ denote an integer. For any $x\in \mathbb F_2^D$ let $w(x)$ denote the Hamming weight of $x$. Let $X$ denote the subspace of $\mathbb F_2^D$ consisting of all $x\in \mathbb F_2^D$ with even $w(x)$. The $D$-dimensional halved cube $\frac{1}{2}H(D,2)$ is a finite simple connected graph with vertex set $X$ and $x,y\in X$ are adjacent if and ...
Wen, Chia-Yi, Huang, Hau-Wen
openaire   +2 more sources

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

On the algebra of cubes

open access: yesJournal of Pure and Applied Algebra, 1981
This is the first of two papers whose main purpose is to prove a generalisation of the Seifert-Van Kampen theorem on the fundamental group of a union of spaces. This generalisation (Theorem C of [8]) will give information in all dimensions and will include as special cases not only the above theorem (without the usual assumptions of path-connectedness)
Brown, Ronald, Higgins, Philip J.
openaire   +1 more source

Property A and CAT(0) cube complexes [PDF]

open access: yes, 2009
Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean spaces and trees are examples of spaces with Property A.
Wright, N.J.   +4 more
core   +1 more source

GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2016
We investigate the function $d_{\mathbf{A}}(n)$, which gives the size of a least size generating set for $\mathbf{A}^{n}$.
Kearnes, Keith A.   +2 more
openaire   +3 more sources

The multidimensional cube recurrence [PDF]

open access: yes, 2009
We introduce a recurrence which we term the multidimensional cube recurrence, generalizing the octahedron recurrence studied by Propp, Fomin and Zelevinsky, Speyer, and Fock and Goncharov and the three-dimensional cube recurrence studied by Fomin and ...
Sub Algebra,Geometry&Mathem. Logic begr.   +7 more
core   +2 more sources

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