On the cohomology of finite‐dimensional nilpotent groups and lie rings
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
A safety wear detection model for workers in cement aggregate production workshop based on ODEM–YOLO
Safety compliance, particularly the correct usage of personal protective equipment (PPE), is critical in high-risk industrial settings such as cement aggregate production workshops, where traditional manual supervision is often insufficient owing to ...
Xin LI, Mangu HU, Ruipeng TONG
doaj +1 more source
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Primitivity testing in free group algebras via duality
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
wiley +1 more source
Coulomb branch algebras via symplectic cohomology
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Survey on second submodules of modules over commutative rings
Let R be a commutative ring with identity. The concept of second submodule of an R-module (as a dual notion of prime submodules) was introduced and studied by S.Yassemi in 2001. This notion has obtained a great attention by many authors and now there is a considerable amount of research concerning this class of modules.
openaire +2 more sources
Extending GroupStruct2: a Bayesian and machine-learning framework for testing taxonomic hypotheses using morphometric data. [PDF]
Chan KO, Grismer LL.
europepmc +1 more source
GermVersity: A free and user-friendly interface to enhance the visualization and analysis of genebank data. [PDF]
Ramirez-Gil JG +6 more
europepmc +1 more source
CT-based subchondral bone microstructural analysis in knee osteoarthritis via MR-guided distillation learning. [PDF]
Hu Y +5 more
europepmc +1 more source

