We study subrings in the Chow ring CH∗(A)Q of an abelian variety A, stable under the Fourier transform with respect to an arbitrary polarization. We prove that by taking Pontryagin products of classes of dimension ≤ 1 one gets such a subring. We also show how to construct finite-dimensional Fourier-stable subrings in CH∗(A)Q. Another result concerns the relation between the Pontryagin product a...

A set S ⊆ V (G) of an undirected graph G is a locating-dominating if for each v ∈ \ S, there exists w such tha vw E(G) and NG(x) ∩ ̸= NG(y) any two distinct vertices x y in S. stable it {v} The minimum cardinality G, denoted by γSLD(G), called the locating-domination number G. In this paper, we investigate concept corresponding parameter edge corona lexicographic product graphs.

This research introduces a row compression and nested product decomposition of an n × n hierarchical representation of a rank structured matrix A, which extends the compression and nested product decomposition of a quasiseparable matrix. The hierarchical parameter extraction algorithm of a quasiseparable matrix is efficient, requiring only O(nlog(n)) operations, and is proven backward stable. T...

In this paper, we prove that, for compact warped product submanifolds Mn in an Euclidean space En+k, there are no stable p-currents, homology groups vanishing, and M3 is homotopic to the sphere S3 under various extrinsic restrictions, involving eigenvalue of function, integral Ricci curvature, Hessian tensor. The results paper can be considered extension Xin’s work framework a submanifold, when...