Results 1 to 10 of about 636 (123)

Modules whose $p$-submodules are direct summands

Turkish Journal of Mathematics, 2018
Summary: In this article, we deal with modules with the property that all \(p\)-submodules are direct summands. In contrast to \(CLS\)-modules, it is shown that the former property is closed under finite direct sums, but it is not inherited by direct summands.
Yeliz Kara
exaly   +4 more sources

On isomorphism of minimal direct summands

Hokkaido Mathematical Journal, 1994
A subgroup \(A\) of a \(p\)-primary abelian group \(G\) is purifiable if there is a minimal pure subgroup of \(G\) containing \(A\). A given subgroup may or may not possess a pure hull. The paper is concerned with generalizations of ``purifiable''. A subgroup \(A\) is almost-dense in \(G\) if every pure subgroup containing \(A\) is dense in \(G\) (in ...
Takashi Okuyama
exaly   +4 more sources

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   +1 more source

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   +1 more source

Direct summands of klt singularities

Inventiones Mathematicae
We show that direct summands (or more generally, pure images) of klt type singularities are of klt type. As a consequence, we give a different proof of a recent result of Braun, Greb, Langlois and Moraga that reductive quotients of klt type singularities are of klt type.
exaly   +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

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

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

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