Results 11 to 20 of about 109,991,266 (129)
On weakly 1-Absorbing primary ıdeals of commutative rings [PDF]
Algebra Colloquium, 2022 Let R be a commutative ring with 1 not equal 0. We introduce the concept of weakly 1-absorbing primary ideal, which is a generalization of 1-absorbing primary ideal.
Badawi, Ayman +3 more
core +3 more sources
On 1-absorbing primary ideals of commutative rings [PDF]
Journal of Algebra and Its Applications, 2019 Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever nonunit elements a,b,c R and abc I,
Çelikel, Ece Yetkin, Badawi, Ayman
core +2 more sources
More on the strongly 1-absorbing primary ideals of commutative rings [PDF]
Czechoslovak Mathematical Journalsummary:Let $R$ be a commutative ring with identity. We study the concept of strongly \hbox {1-absorbing} primary ideals which is a generalization of $n$-ideals and a subclass of $1$-absorbing primary ideals.
Yassine, Ali +7 more
core +3 more sources
Generalizations of 1-absorbing primary ideals of commutative rings [PDF]
, 2020 Let R be a commutative ring with identity. In this paper, we extend the concept of 1-absorbing primary ideals to the concept of ֆ-1-absorbing primary ideals. Let ֆ: S(R) → S(R) ∪ {∅} be a function, where S(R) is the set of all ideals of R. A proper ideal
Çelikel, Ece Yetkin
core +3 more sources
On graded 1 -absorbing δ -primary ideals
Proyecciones (Antofagasta)Let G be an abelian group with identity 0 and let R be a commutative graded ring of type G with nonzero unity. Let I(R) be the set of all ideals of R and let δ: I(R)⟶I(R) be a function. Then, according to (R. Abu-Dawwas, M.
Assarrar, Anass +3 more
core +2 more sources
On (3, 1)-absorbing primary ideals in commutative rings
Open MathematicsIn this paper, we introduce and study the class of (3, 1)-absorbing primary ideals in commutative rings. We establish several characterizations and examine their relationship with classical 1-absorbing primary ideals.
Abouhalaka Alaa, Kim Hwankoo
doaj +2 more sources
On n-1-absorbing primary ideals
Miskolc Mathematical NotesThe paper aims to present a new primary ideal in a commutative ring R with nonzero identity element. We introduce the new primary ideal as an n-1-absorbing primary ideal that is a generalization of both primary and 1-absorbing primary ideals.
Ulucak, Gulsen +5 more
core +5 more sources
Journal of Advanced Research in Natural and Applied SciencesIn this paper, we introduce some new structures such as soft primary int-ideal and soft 1-absorbing primary int-ideal, which are different generalizations of the soft prime int-ideal. We study these new structures theoretically and practically.
Filiz Çıtak, İbrahim Halil Kanat
doaj +2 more sources
On Generalizations of phi-2-Absorbing Primary Submodules
WSEAS TRANSACTIONS ON MATHEMATICS, 2018 Let $\phi: S(M) \rightarrow S(M) \cup \left\lbrace \emptyset\right\rbrace $ be a function where $S(M)$ is the set of all submodules of $M$. In this paper, we extend the concept of $\phi$-$2$-absorbing primary submodules to the context of $\phi$-$2 ...
Pairote Yiarayong, Manoj Siripitukdet
core +3 more sources
Amalgamated algebras along an ideal defined by 1-absorbing-like conditions [PDF]
, 2023 Let R be a commutative ring with nonzero identity. A proper ideal I of R is called a 1-absorbing prime ideal (respectively, 1-absorbing primary ideal) if whenever nonunit elements a,b,c∈R with abc∈I, then ab∈I or c∈I (respectively, ab∈I or c∈I–√).
Mahdou, Najib +9 more
core +2 more sources