Results 101 to 110 of about 584 (193)
Ideals as Generalized Prime Ideal Factorization of Submodules
For a submodule $N$ of an $R$-module $M$, a unique product of prime ideals in $R$ is assigned, which is called the generalized prime ideal factorization of $N$ in $M$, and denoted as ${\mathcal{P}}_M(N)$. But for a product of prime ideals ${{{\mathfrak{p}
Duraivel, T. +2 more
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Square-difference factor absorbing submodules of modules over commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet R be a commutative ring with identity and M an unitary R-module. Recently, in [5], Anderson, Badawi and Coykendalla defined a proper ideal I of R to be a square-difference factor absorbing ideal (sdf-absorbing ideal) of R if whenever a2 − b2 ∈ I for ...
Khashan Hani A., Celikel Ece Yetkin
doaj +1 more source
Prime submodules and maximal submodules in the idealization of a module
Selecciones MatemáticasThis paper describes certain types of prime submodules and maximal submodules that are found within the idealization of a module. As a consequence of this, it is concluded that every module over a commutative ring with identity element has an extension whose prime spectrum is nonempty.
Alex Molina +2 more
openaire +1 more source
SUBMODUL HAMPIR PRIMA ( ON ALMOST PRIME SUBMODULES )
, 2014 In modul theory, we define prime submodules which motivated by the definition of prime ideals in a ring R (i.e assumed that R be an R-module R). Let R be a commutative ring with identity and M be an R-module.
, DYANA PATTY +1 more
core
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever r  R, x  M, 0  r x  N implies x  N or r  (N:M).
I. M.A. Hadi
doaj
S-Prime Right Submodules and an S-Version of Prime Avoidance
Let S be an m-system of a ring R, and P a submodule of a right R-module M. This paper, presents the notion of S-prime submodule and provides some properties and equivalent definitions.
Abouhalaka, Alaa
core
On Quasi Prime Fuzzy Submodules and Quasi Primary Fuzzy Submodules
, 2019 In this paper we give some results about fuzzy quasi prime submodules, also,we study the notion of quasi primary fuzzy ...
Rabee Hadi
core +2 more sources
On Optimal and Quantum Code Construction from Cyclic Codes over FqPQ with Applications. [PDF]
Entropy (Basel), 2023 Ali S +5 more
europepmc +1 more source
ILIAD: a suite of automated Snakemake workflows for processing genomic data for downstream applications. [PDF]
BMC Bioinformatics, 2023 Herrick N, Walsh S.
europepmc +1 more source