Radical preservation and the finitistic dimension
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
Toward whole-genome inference of polygenic scores with fast and memory-efficient algorithms. [PDF]
Zabad S +4 more
europepmc +1 more source
The random graph process is globally synchronizing
Abstract The homogeneous Kuramoto model on a graph G=(V,E)$G = (V,E)$ is a network of |V|$|V|$ identical oscillators, one at each vertex, where every oscillator is coupled bidirectionally (with unit strength) to its neighbors in the graph. A graph G$G$ is said to be globally synchronizing if, for almost every initial condition, the homogeneous Kuramoto
Vishesh Jain +2 more
wiley +1 more source
Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]
Li C, Rapoport M, Zhang W.
europepmc +1 more source
Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring
Hengtai Wang, Qingguo Li
semanticscholar +1 more source
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon). [PDF]
Yeung K +11 more
europepmc +1 more source
The classification of finite-dimensional triangular Hopf algebras over\n an algebraically closed field of characteristic 0 [PDF]
Pavel Etingof, Shlomo Gelaki
openalex +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Low-Scaling, Efficient and Memory Optimized Computation of Nuclear Magnetic Resonance Shieldings within the Random Phase Approximation Using Cholesky-Decomposed Densities and an Attenuated Coulomb Metric. [PDF]
Drontschenko V, Ochsenfeld C.
europepmc +1 more source

