Results 61 to 70 of about 429,869 (330)

On existence of canonical $G$-bases

open access: yes, 2017
We describe a general method for expanding a truncated G-iterative Hasse-Schmidt derivation, where G is an algebraic group.
Hoffmann, Daniel M.
core   +1 more source

ALGEBRAIC QUANTUM PERMUTATION GROUPS [PDF]

open access: yesAsian-European Journal of Mathematics, 2008
We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If 𝕂 is any characteristic zero field, we show that there exists a universal cosemisimple Hopf algebra coacting on the diagonal algebra 𝕂n: this is a refinement of Wang's universality theorem for the (compact) quantum permutation group.
openaire   +4 more sources

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

open access: yesAdvanced Intelligent Discovery, EarlyView.
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

Evolutionary dynamics on a regular networked structured and unstructured multi‐population

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar   +2 more
wiley   +1 more source

Wonderful compactifications of Bruhat-Tits buildings [PDF]

open access: yesÉpijournal de GĂ©omĂ©trie AlgĂ©brique, 2017
Given a split semisimple group over a local field, we consider the maximal Satake-Berkovich compactification of the corresponding Euclidean building. We prove that it can be equivariantly identified with the compactification which we get by embedding the
Bertrand Remy   +2 more
doaj   +1 more source

A Tauberian Group Algebra [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
Let G be the group of real matrices \[ ( x , y ) = ( e x
openaire   +1 more source

Predicting Postresection Colorectal Liver Metastases Recurrence Using Advanced Graph Neural Networks with Explainability and Causal Inference

open access: yesAdvanced Intelligent Systems, EarlyView.
This study introduces a framework that combines graph neural networks with causal inference to forecast recurrence and uncover the clinical and pathological factors driving it. It further provides interpretability, validates risk factors via counterfactual and interventional analyses, and offers evidence‐based insights for treatment planning ...
Jubair Ahmed   +3 more
wiley   +1 more source

The build up construction for codes over a non-commutative non-unitary ring of order 9

open access: yesAIMS Mathematics
The build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order four to generate quasi self-dual codes.
Adel Alahmadi   +2 more
doaj   +1 more source

The group of automorphisms of a real rational surface is n-transitive

open access: yes, 2008
Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new
Huisman, Johannes, Mangolte, Frédéric
core   +2 more sources

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

open access: yesAdvanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari   +2 more
wiley   +1 more source

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