Results 11 to 20 of about 596,380 (184)

Pentagon Relations in Direct Sums and Grassmann Algebras [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic ...
Igor G. Korepanov, Nurlan M. Sadykov
doaj   +3 more sources

Partially Coherent Direct Sum Channels [PDF]

Quantum, 2021
We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities.
Stefano Chessa, Vittorio Giovannetti
openaire   +5 more sources

On reflexivity of direct sums [PDF]

Proceedings of the American Mathematical Society, 2000
Summary: Necessary and sufficient conditions are presented to insure that the direct sum of two reflexive representations of a finite-dimensional algebra is reflexive, and it is shown that for each such algebra, there is an integer \(k\) such that the direct sum of \(k\) copies of each of its representations is reflexive.
Camillo, V. P., Fuller, K. R.
openaire   +1 more source

Testing Odd Direct Sums Using High Dimensional Expanders [PDF]

, 2019
In this work, using methods from high dimensional expansion, we show that the property of k-direct-sum is testable for odd values of k . Previous work of [Kaufman and Lubotzky, 2014] could inherently deal only with the case that k is even, using a ...
Gotlib, Roy, Kaufman, Tali
core   +1 more source

DIRECT SUMS OF INFINITELY MANY KERNELS [PDF]

Journal of the Australian Mathematical Society, 2010
AbstractLet 𝒦 be the class of all rightR-modules that are kernels of nonzero homomorphisms φ:E1→E2for some pair of indecomposable injective rightR-modulesE1,E2. In a previous paper, we completely characterized when two direct sumsA1⊕⋯⊕AnandB1⊕⋯⊕Bmof finitely many modulesAiand Bjin 𝒦 are isomorphic.
ECEVIT S, FACCHINI, ALBERTO, KOSAN M. T.
openaire   +5 more sources

Local Gromov-Witten Invariants are Log Invariants [PDF]

, 2019
We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent to a smooth section of the dual line bundle.
Graber, Tom, Ruddat, Helge, van Garrel, Michel   +2 more
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A direct proof of AGT conjecture at beta = 1 [PDF]

, 2010
The AGT conjecture claims an equivalence of conformal blocks in 2d CFT and sums of Nekrasov functions (instantonic sums in 4d SUSY gauge theory). The conformal blocks can be presented as Dotsenko-Fateev beta-ensembles, hence, the AGT conjecture implies ...
Mironov, A., Morozov, A., Shakirov, Sh.
core   +2 more sources

A Characterization on Singular Value Inequalities of Matrices

Journal of Function Spaces, 2020
We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where sjX denotes the j-th largest singular values of X. It can imply not only some well-known singular value inequalities for sums and direct sums of matrices
Wei Dai, Yongsheng Ye
doaj   +1 more source

Direct sums of Rickart modules

Journal of Algebra, 2012
A right \(R\)-module \(M\) with endomorphism ring \(S=\text{End}_R(M)\) is called a Rickart module if the right annihilator in \(M\) of any single element of \(S\) is a direct summand of \(M\). In general, the class of Rickart modules is not closed under direct sums, and it is interesting to study when it has this closure property.
Lee, Gangyong, Rizvi, S. Tariq, Roman, Cosmin S.   +2 more
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Bipolar picture fuzzy sets and relations with applications [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2022
The notions of both the bipolar fuzzy sets and picture fuzzy sets have been studied by many authors, the bipolar picture fuzzy set is the nice combination of these two notions. Basically, the concepts we present in our study are the direct extensions of
Waheed Ahmad Khan, Khurram Faiz, Abdelghani Taouti   +2 more
doaj   +1 more source