Results 11 to 20 of about 2,911 (216)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Strict Topologies as Topological Algebras [PDF]
Czechoslovak Mathematical Journal, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A topology on categorical algebras
Filomat, 2022 On categorical algebras, we define an idempotent filter as an analogous version of Gabriel?s. We also construct topologies on 2-crossed modules of algebras and categorical algebras.
Ulualan, Erdal, Yılmaz, Koray
openaire +2 more sources
Double multipliers on topological algebras
International Journal of Mathematics and Mathematical Sciences, 1999 The main purpose of this paper is to investigate some topological properties of the double multiplier algebra on a topological algebra. Let Md(A) be the double multiplier algebra on a topological algebra A, and let u and s be the uniform and strong ...
L. A. Khan, N. Mohammad, A. B. Thaheem
doaj +1 more source
An application of computer algebra to algebraic topology
International Journal of Computer Mathematics, 1990 In this work we study a certain formal power series that is of considerable interest to algebraic topologists, the [p k ]-series. We define the series in a purely combinatorial way and indicate its usefulness. Then, by using computer algebra techniques, we compute it up to a high coefficient.
Glinos, N., Nakos, G.
openaire +2 more sources
On a class of topological algebras [PDF]
Pacific Journal of Mathematics, 1970 A locally convex algebra \(A\) is \(A\)-convex if the topology for \(A\) is defined by a family of seminorms such that for each seminorm \(p\) and each \(y\) in \(A\), there is a real number \(M\) for which \(p(yx) \leq M p(x)\) and \(p(xy) \leq M p(x)\) for all \(x\) in \(A\). A locally \(m\)-convex algebra is an \(A\)-convex algebra.
Cochran, A. C. +2 more
openaire +2 more sources
European Physical Journal C: Particles and Fields, 2022 We shed new light on the standard current algebra approach to the nonleptonic two-body decays of single and double heavy charm baryons. By making use of the completeness relation for the flavor wave functions of the ground state baryon $$\mathbf{20 ...
Stefan Groote, Jürgen G. Körner
doaj +1 more source
Topological distances and geometry over the symmetrized Omega algebra
Applied General Topology, 2020 The aim of this paper is to study some topological distances properties, semidendrites and convexity on th symmetrized omega algebra. Furthermore, some properties and exponents on the symmetrized omega algebra are introduced.
Mesfer Alqahtani +2 more
doaj +1 more source
A cone-theoretic barycenter existence theorem [PDF]
Logical Methods in Computer ScienceWe show that every continuous valuation on a locally convex, locally convex-compact, sober topological cone $\mathfrak{C}$ has a barycenter. This barycenter is unique, and the barycenter map $\beta$ is continuous, hence is the structure map of a $\mathbf
Jean Goubault-Larrecq, Xiaodong Jia
doaj +1 more source
A one-dimensional theory for Higgs branch operators
Journal of High Energy Physics, 2018 We use supersymmetric localization to calculate correlation functions of half-BPS local operators in 3d N = 4 $$ \mathcal{N}=4 $$ superconformal field theories whose Lagrangian descriptions consist of vectormultiplets coupled to hypermultiplets.
Mykola Dedushenko +2 more
doaj +1 more source