Results 61 to 70 of about 2,942,043 (344)
On the abelian Galois coverings of an algebra
Let \(\Lambda\) be a finite dimensional algebra over an algebraically closed field \(k\), given by a pair \((Q,I)\), where \(Q\) is a finite oriented graph without double arrows and \(I\) is an admissible ideal of the path algebra \(kQ\) of \(Q\), \(\pi\) be its fundamental group and \({\tilde \Lambda}\) its universal Galois covering.
openaire +2 more sources
Topology in Biological Piezoelectric Materials
This review summarizes the topological structures in biological piezoelectric materials, covering morphology evolution, spatial arrangement, and biomimetic strategies. These topologies modulate structure‐property relationships across multiple scales, enabling performance enhancement and multifunctional integration.
Chen Chen+7 more
wiley +1 more source
The projectable hull of an archimedean $ell$-group with weak unit [PDF]
The much-studied projectable hull of an $ell$-group $Gleq pG$ is an essential extension, so that, in the case that $G$ is archimedean with weak unit, ``$Gin {bf W}$", we have for the Yosida representation spaces a ``covering map" $YG leftarrow YpG$.
Anthony W. Hager, Warren Wm. McGovern
doaj
AI‐Driven Defect Engineering for Advanced Thermoelectric Materials
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu+9 more
wiley +1 more source
Cleaning Data With Selection Rules
In this paper, we propose and study a type of tuple-level constraint that arises from the selection operator $\sigma $ of relational algebra and that closely resembles the concepts of tuple-level denial constraints.
Toon Boeckling+2 more
doaj +1 more source
Covering Algebras I. Extended Affine Lie Algebras
Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
Bruce Allison+2 more
openaire +3 more sources
Theoretical lessons are key for molecules presenting an inverted singlet‐triplet excited state (e.g. S1 and T1) energy difference. This perspective provides a snapshot of the role played by calculations in last years, not only to anticipate experimental findings but also for driving high‐throughput virtual screenings, as well as the main challenge to ...
Ángel José Pérez‐Jiménez+2 more
wiley +1 more source
On the Hilbert series of vertex cover algebras of unmixed bipartite graphs [PDF]
We compute the reduced Gr\"{o}bner basis of the toric ideal with respect to a suitable monomial order and we study the Hilbert series of the vertex cover algebra $A(G)$, where $G$ is an unmixed bipartite graph without isolated vertices.Comment: 8 ...
Ion, Cristian
core
FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
wiley +1 more source
On the Hilbert series of vertex cover algebras of Cohen-Macaulay bipartite graphs
We study the Hilbert function and the Hilbert series of the vertex cover algebra A(G), where G is a Cohen-Macaulay bipartite graph.
Cristian Ion
doaj