Results 1 to 10 of about 43,448 (306)

Higher-Order Extensions of C-Hyponormality via n-Quasi-C-Hyponormal Operators

Mathematics
In this paper, we investigate generalizations and extensions of C-hyponormal operators, focusing on the class of n-quasi-C-hyponormal operators. We provide a detailed structural analysis, including decomposition results that split an operator into a C ...
Sid Ahmed Ould Ahmed Mahmoud, Hadi Obaid Alshammari   +1 more
doaj   +1 more source

A Hyperstructural Approach to Semisimplicity

Axioms
In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M),·) is a group, where End(M) is the set of all normal endomorphisms of M. We prove that every simple hypermodule is normal
Ergül Türkmen, Burcu Nİşancı Türkmen, Hashem Bordbar   +2 more
doaj   +1 more source

A generalization of modules with the property (P*) [PDF]

Mathematica Moravica, 2017
I.A- Khazzi and P.F. Smith called a module M have the property (P*) if every submodule N of M there exists a direct summand K of M such that K ≤ N and N K C Rad(M K).
Türkmen Nışanci Burcu
doaj  

Adjoint representations for SU(2), su(2) and sl(2)

Al-Mustansiriyah Journal of Science, 2017
This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2).
Saad Owaid, Zainab Subhi
doaj   +1 more source

Relative natural classes and relative injectivity

International Journal of Mathematics and Mathematical Sciences, 2005
Let τ be a hereditary torsion theory on the category R-Mod of left R-modules over an associative unitary ring R. We introduce the notion of τ-natural class as a class of modules closed under τ-dense submodules, direct sums, and τ-injective hulls.
Septimiu Crivei
doaj   +1 more source

On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces

International Journal of Mathematics and Mathematical Sciences, 2003
The general ordinary quasidifferential expression Mp of nth order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals Ip=(ap,bp), p=1,…, N, are considered in the setting of the direct sums of Lwp2(ap ...
Sobhy El-Sayed Ibrahim
doaj   +1 more source

Powers and direct sums

Journal of Mathematical Analysis and Applications, 2014
Abstract This paper investigates when a bounded operator on Hilbert space has the property that its square is similar to to the direct sum of it with itself. A few general results are obtained and the normal operators and unilateral shifts having this property are characterized. Several additional examples are explored.
John B. Conway, Gabriel Prǎjiturǎ, Alejandro Rodríguez-Martínez   +2 more
openaire   +1 more source

Representability of the direct sum of q-matroids

Journal of Algebraic Combinatorics
While there are many parallels between matroid theory and $q$-matroid theory, most notably on the level of cryptomorphisms, there are substantial differences when it comes to the direct sum. The direct sum of $q$-matroids has been introduced in the literature only recently.
Heide Gluesing-Luerssen, Benjamin Jany
openaire   +4 more sources

Minimal criteria for continuous-variable genuine multipartite entanglement [PDF]

Quantum
We derive a set of genuine multi-mode entanglement criteria for second moments of the quadrature operators. The criteria have a common form of the uncertainty relation between sums of variances of position and momentum quadrature combinations.
Olga Leskovjanová, Ladislav Mišta Jr.
doaj   +1 more source

Hepatitis C in Children—An Asia–Pacific Concise Perspective

Pathogens
Since the discovery of hepatitis C virus (HCV) in 1989, we now have curative treatment options with direct-acting antiviral therapies. By increasing the rate of treatment and reducing transmission, the eradication of HCV is potentially achievable ...
Lynette Goh, Winita Hardikar
doaj   +1 more source