Results 31 to 40 of about 1,167 (194)
The Direct Summand Conjecture in Dimension Three [PDF]
14 pages, no ...
openaire +2 more sources
Permutation Summands Over Z [PDF]
A permutation lattice for a finite group G is a free Z-module with a finite basis which is permuted by G; direct summands of these, as ZG-module, are the lattices of the title.
Weiss, A., Wang, X.Y.
core +1 more source
Codes in Dihedral Group Algebra
Robert McEliece developed an asymmetric encryption algorithm based on the use of binary Goppa codes in 1978 and no effective key attacks has been described yet.
Kirill V. Vedenev, Vladimir M. Deundyak
doaj +1 more source
MODULES WHOSE CERTAIN SUBMODULES ARE ESSENTIALLY EMBEDDED IN DIRECT SUMMANDS [PDF]
It is well known that, if the ring has acc on essential right ideals, then for every quasi-continuous module over the ring, the finite exchange property implies the full exchange property.
TERCAN, ADNAN, KARA, YELİZ
core +1 more source
Relative injectivity and CS-modules
In this paper we show that a direct decomposition of modules M⊕N, with N homologically independent to the injective hull of M, is a CS-module if and only if N is injective relative to M and both of M and N are CS-modules. As an application, we prove that
Mahmoud Ahmed Kamal
doaj +1 more source
Persistent Tensors and Multiqudit Entanglement Transformation [PDF]
We construct a lower bound of the tensor rank for a new class of tensors, which we call $\textit{persistent tensors}$. We present three specific families of persistent tensors, of which the lower bound is tight.
Masoud Gharahi, Vladimir Lysikov
doaj +1 more source
Modules whose h-closed submodules are direct summands [PDF]
This paper is based on the class of modules whose h-closed submodules are direct summands. We introduce and investigate the structural properties for the former class of modules and we elaborate our results with lifting ...
Kara, Yeliz
core
When some complement of an exact submodule is a direct summand [PDF]
In this article, we study C-11(r)-modules. It is shown that the class of modules with property, each submodule such that the image of its quotient is zero under a left exact preradical has a complement which is a direct summand, is closed under direct ...
TERCAN, ADNAN, YAŞAR, RAMAZAN
core +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Anisotropy Factor Spectra for Weakly Allowed Electronic Transitions in Chiral Ketones
Anisotropy factor spectra for the weak n→π*‐type A‐band of chiral ketones cannot be described within the Franck–Condon approximation. Thus, we present such spectra computed by accounting for Herzberg–Teller corrections and compare them to experiments for fenchone, camphor and 3MCP to describe chiroptical properties of these molecules in the mid to near
Leon A. Kerber +5 more
wiley +1 more source

