Results 61 to 70 of about 101 (90)

Post-Lie algebra structures for perfect Lie algebras. [PDF]

open access: yesCommun Algebra
Burde D, Dekimpe K, Monadjem M.
europepmc   +1 more source

Congruence modules in higher codimension and zeta lines in Galois cohomology. [PDF]

open access: yesProc Natl Acad Sci U S A
Iyengar SB   +3 more
europepmc   +1 more source

On the Annihilator Submodules and the Annihilator Essential Graph

open access: yesActa Mathematica Vietnamica, 2019
Let \(R\) be a commutative ring and let \(M\) be an \(R\)-module. For \(a\in R, \mathrm{Ann}_M(a) =\{ m\in M:am = 0\}\) is said to be an annihilator submodule of \(M.\) In this paper, authors studied about the property of prime or essential for annihilator submodules of \(M\). Additionally, they have introduced the notion of annihilator essential graph
Sakineh Babaei   +2 more
exaly   +5 more sources

Modules in which the annihilator of a fully invariant submodule is pure

Communications in Algebra, 2020
A ring R is called left AIP if R modulo the left annihilator of any ideal is flat. In this paper, we characterize a module MR for which the endomorphism ring E n d R ( M ) is left AIP.
A Moussavi
exaly   +2 more sources

Annihilator essential and S-annihilator essential submodules

Asian-European Journal of Mathematics
Let [Formula: see text] be a commutative ring with [Formula: see text] and [Formula: see text] be an [Formula: see text]-module. In this paper, we will present two classes of submodules of [Formula: see text] named annihilator essential and [Formula: see text]-annihilator essential submodules such that [Formula: see text] is a multiplicatively closed ...
Saeed Rajaee
exaly   +2 more sources

Some results on the strongly annihilating submodule graph of a module

2023
Summary: Let \(M\) be a module over a commutative ring \(R\). We continue our study of strongly annihilating submodule graph \(\mathbb{SAG}(M)\) introduced in [\textit{R. Beyranvand} and \textit{A. Farzi-Safarabadi}, Algebr. Struct. Appl. 7, No. 1, 83--99 (2020; Zbl 1463.05252)].
Beyranvand, Reza   +1 more
openaire   +2 more sources

The Intersection Property of Annihilators of Both Modules and Maximal Submodules Belonging to the Same Module

Journal of Computational and Theoretical Nanoscience, 2020
During that article T stands for a commutative ring with identity and that S stands for a unitary module over T. The intersection property of annihilatoers of a module X on a ring T and a maximal submodule W of M has been reviewed under this article where he provide several examples that explain that the property.
Hatam Yahya Khalaf, Buthyna Nijad Shihab
openaire   +1 more source

The strongly annihilating-submodule graph of a module

2020
Summary: In this paper, we define the notion of strongly annihilating-submodule graph of modules. This graph is a straightforward common generalization of the annihilating-submodule graph and the annihilating-ideal graph. In addition to providing the properties of this graph in general, we investigate the behavior of the graph when modules are reduced ...
FarziSafarabadi, Ahadollah   +1 more
openaire   +2 more sources

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