Results 31 to 40 of about 136,939,768 (82)

Presentations of inverse semigroups, their kernels and extensions [PDF]

open access: yes, 2011
"Part of this work was done while Gray was an EPSRC Postdoctoral Research Fellow at the University of St Andrews, Scotland"Let S be an inverse semigroup and let π:S→T be a surjective homomorphism with kernel K.
Ruskuc, Nik   +9 more
core   +1 more source

Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

open access: yesMathematische Nachrichten, Volume 299, Issue 11, Page 3367-3391, November 2026.
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke   +3 more
wiley   +1 more source

Weighted veronese rings via convex semigroups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.
Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property.
Bek Chase   +6 more
wiley   +1 more source

Discrete homotopy hypothesis for n$n$‐types

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.
Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
wiley   +1 more source

Homological properties of piecewise hereditary algebras [PDF]

open access: yes, 2009
Let Λ be a finite dimensional algebra over an algebraically closed field k. We will investigate homological properties of piecewise hereditary algebras Λ.
Zacharia, Dan, Happel, Dieter
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, Volume 2, Issue 5, October 2026.
This 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 ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Context-Free Languages and Associative Algebras with Algebraic Hilbert Series

open access: yes, 2020
In this paper, homological methods together with the theory of formal languages of theoretical computer science are proved to be effective tools to determine the growth and the Hilbert series of an associative algebra.
Piontkovski D.   +3 more
core   +1 more source

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

open access: yesMathematische Nachrichten, Volume 299, Issue 10, Page 2805-2835, October 2026.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

Finite Presentability And The Homological Type Fp M For A Class Of Hopf Algebras

open access: yes, 2015
We define and study the property finite presentability in the category ?? of Hopf algebras that are smash product of universal enveloping algebra of a Lie algebra by a group algebra. We show that for such Hopf algebras finite presentability is equivalent
Kochloukova D.H., Kochloukova, DH
core   +1 more source

Foundations of Wilson Lines and Loops From Basic Concepts to Gauge Field Reconstruction

open access: yesFortschritte der Physik, Volume 74, Issue 10, October 2026.
Wilson lines and Wilson loops are reviewed as parallel transport observables in continuum gauge theory. Full holonomy data recover the local connection and curvature through short segment and small loop limits. Traced Wilson loops are gauge invariant but lose matrix information, so reconstruction requires a compatible lift constrained by trace ...
Shokoufe Faraji
wiley   +1 more source

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