Results 1 to 10 of about 3,053,001 (194)

On Goldie absolute direct summands in modular lattices [PDF]

Mathematica 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   +3 more sources

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

Mathematica 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   +3 more sources

Isomorphic direct summands of abelian groups

Mathematische Annalen, 1964
Pierce, R.S., BEAUMONT, R.A.
exaly   +3 more sources

Supplements Related to Normal π-Projective Hypermodules

Mathematics, 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, Hashem Bordbar, Irina Cristea   +2 more
doaj   +1 more source

Hereditary Properties of Direct Summands of Algebras [PDF]

Mathematical Research Letters, 1999
For an algebra, \(R\), the authors investigate the property, which they call FCR, saying that any finite-dimensional representation is completely reducible and that each element of the algebra acts non-zero on some finite-dimensional representation.
Kraft, Hanspeter, Small, Lance W., Wallach, Nolan R.   +2 more
openaire   +2 more sources

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

Mathematics, 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, Tatiana K. Artemova   +1 more
doaj   +1 more source

Lattice isomorphisms between projection lattices of von Neumann algebras

Forum 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

Journal 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]

Discrete 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

Self-similarity on 4d cubic lattice [PDF]

Open Communications in Nonlinear Mathematical Physics
A phenomenon of "algebraic self-similarity" on 3d cubic lattice, providing what can be called an algebraic analogue of Kadanoff--Wilson theory, is shown to possess a 4d version as well. Namely, if there is a $4\times 4$ matrix $A$ whose entries
Igor G. Korepanov
doaj   +1 more source