Results 21 to 30 of about 109,991,266 (129)

Note on weakly 1-absorbing primary ideals

Filomat, 2022
An ideal I of a commutative ring R is called a weakly primary ideal of R if whenever a,b ? R and 0 ? ab ? I, then a ? I or b ? ?I. An ideal I of R is called weakly 1-absorbing primary if whenever nonunit elements a, b, c ? R and 0 ? abc ? I, then ab ? I or c ? ?I.
Fuad Almahdi, Mohammed Tamekkante, Ali Koam   +2 more
openaire   +2 more sources

Fuzzy Weakly 2-Absorbing Ideals of a Lattice [PDF]

, 2022
As a generalization of the concept of a weakly prime ideal, we introduce the concepts of a fuzzy weak prime ideal, a fuzzy weakly 2-absorbing ideal of a lattice.
Nimbhorkar, Shriram K., Patil, Yogita S.
core   +1 more source

On Graded Strongly $1$-Absorbing Primary Ideals

, 2021
Let $G$ be a group with identity $e$ and $R$ be a $G$-graded commutative ring with nonzero unity $1$. In this article, we introduce the concept of graded strongly $1$-absorbing primary ideals. A proper graded ideal $P$ of $R$ is said to be a graded strongly $1$-absorbing primary ideal of $R$ if whenever nonunit homogeneous elements $x, y, z\in R$ such ...
openaire   +3 more sources

On 1-absorbing delta-primary ideals

, 2021
Let R be a commutative ring with nonzero identity. Let J(R) be the set of all ideals of R and let delta : J(R) - -> J(R) be a function. Then delta is called an expansion function of ideals of R if whenever L, I, J are ideals of R with J subset of I, we have L subset of delta(L) and delta(J) subset of delta(I).
Khalfi, Abdelhaq El, Mahdou, Najib, Tekir, Ünsal, Koç, Suat   +3 more
openaire   +3 more sources

2-Absorbing delta-Primary Intuitionistic Fuzzy Ideals of Commutative Rings

, 2022
In this paper, we study the primary intuitionistic fuzzy ideal, the intuitionistic fuzzy ideal expansion and delta-primary intuitionistic fuzzy ideal which assemble prime intuitionistic fuzzy ideals and primary intuitionistic fuzzy ideals.
Özkan, Erdoğan Mehmet, Hila, Kostaq, Onar, Serkan, Ersoy, Bayram Ali, Bayram Ali Ersoy, Kostaq Hila, Serkan Onar, Erdogan Mehmet Özkan   +7 more
core   +1 more source

2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings [PDF]

, 2023
The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague
Ali Akgül, Sina Etemad, Serkan Onar, Hila, Kostaq, Rezapour, Shahram, Shahram Rezapour, Kostaq Hila, La Sen, Manuel De, De la Sen Parte, Manuel, Etemad, Sina, Onar, Serkan, Manuel De la Sen, Akgül, Ali   +12 more
core   +1 more source

n-absorbing I-primary ideals in commutative rings

, 2022
We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new generalization. If P is an n-absorbing I-primary ideal of R and $\sqrt{IP} =I \
Akray, Ismael, Anjuman, Sarbast A.
core  

On n-1-absorbing prime ideals

, 2022
In this paper, we introduce and study n -1-absorbing prime ideals of commutative rings. Let R be a ring and n a positive integer. A proper ideal I of R is said to be an n -1-absorbing prime ideal if whenever x1x2…xn+1∈I for some nonunits x1,x2,…,xn ...
TEKİR, ÜNSAL
core   +1 more source

2-absorbing phi-delta-primary ideals

, 2021
This paper aims to introduce 2-absorbing phi-delta-primary ideals over commutative rings which unify the concepts of all generalizations of 2-absorbing and 2-absorbing primary ideals.
KOÇ, SUAT, Yavuz, Sanem, Onar, Serkan, Ersoy, Bayram Ali, Tekir, Ünsal, Sanem YAVUZ, Bayram Ali ERSOY, Serkan ONAR, Suat KOÇ, Ünsal TEKİR   +9 more
core   +1 more source

On weakly 1 -absorbing primary submodules

, 2022
In this paper, we introduce weakly 1-absorbing primary submodules of modules over commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero unital module.
Koç, Suat, Çelikel, Ece Yetkin, Yetkin-Çelikel, Ece, Yıldız, Eda, YILDIZ YILMAZ, Eda, Tekir, Ünsal   +5 more
core   +1 more source