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On Goldie absolute direct summands in modular lattices [PDF]

open access: yesMathematica Bohemica, 2023
Absolute direct summand in lattices is defined and some of its properties in modular lattices are studied. It is shown that in a certain class of modular lattices, the direct sum of two elements has absolute direct summand if and only if the elements are
Rupal Shroff
doaj   +1 more source

Direct summands of Goldie extending elements in modular lattices [PDF]

open access: yesMathematica Bohemica, 2022
In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct ...
Rupal Shroff
doaj   +1 more source

Supplements Related to Normal π-Projective Hypermodules

open access: yesMathematics, 2022
In this study, the role of supplements in Krasner hypermodules is examined and related to normal π-projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients.
Burcu Nişancı Türkmen   +2 more
doaj   +1 more source

On the Physical Layer Security Peculiarities of Wireless Communications in the Presence of the Beaulieu-Xie Shadowed Fading

open access: yesMathematics, 2022
The article presents an analysis of the physical layer security of a wireless communication system functioning in the presence of multipath fading and a wiretap.
Aleksey S. Gvozdarev   +1 more
doaj   +1 more source

Lattice isomorphisms between projection lattices of von Neumann algebras

open access: yesForum of Mathematics, Sigma, 2020
Generalizing von Neumann’s result on type II $_1$ von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable ...
Michiya Mori
doaj   +1 more source

A-D3 Modules and A-D4 Modules

open access: yesJournal of Mathematics, 2023
Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-module. Then M is called A-D3 if, whenever N and K are direct summands of M with M=N+K and M/K∈A, then N∩K is also a direct summand of M; M is called an A ...
Zhanmin Zhu
doaj   +1 more source

New light on Bergman complexes by decomposing matroid types [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
Bergman complexes are polyhedral complexes associated to matroids. Faces of these complexes are certain matroids, called matroid types, too. In order to understand the structure of these faces we decompose matroid types into direct summands.
Martin Dlugosch
doaj   +1 more source

Theory of Trotter Error with Commutator Scaling

open access: yesPhysical Review X, 2021
The Lie-Trotter formula, together with its higher-order generalizations, provides a direct approach to decomposing the exponential of a sum of operators. Despite significant effort, the error scaling of such product formulas remains poorly understood. We
Andrew M. Childs   +4 more
doaj   +1 more source

Almost direct summands [PDF]

open access: yesNagoya Mathematical Journal, 2014
Abstract We prove new cases of the direct summand conjecture using fundamental theorems in p-adic Hodge theory due to Faltings. The cases tackled include the ones when the ramification locus lies entirely in characteristic p.
openaire   +3 more sources

On weak convergence of iterates in quantum Lp-spaces (p≥1)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1 ...
Genady Ya. Grabarnik   +2 more
doaj   +1 more source

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