Results 221 to 230 of about 28,055 (250)

ON ALMOST 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS

JP Journal of Algebra, Number Theory and Applications, 2016
Summary: Various generalizations of primary ideals of a commutative ring \(R\) with \(1\neq 0\) have been studied. For example, a proper ideal \(I\) of \(R\) is a 2-absorbing primary (resp., weakly 2-absorbing primary) if \(a,b,c \in R\) with \(abc \in I\) (resp., \(0 \neq abc \in I)\) implies \(ab \in I\) or \(ac \in \sqrt 1\) or \( bc \in \sqrt 1 ...
Bataineh, Malik, Al-Nuserat, Obaydah
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On 2-absorbing and strongly 2-absorbing ideals of commutative semigroups

2022
In this paper, S denotes a commutative multiplicative semigroup with 1 and 0. A nonempty subset I of S is called an ideal of S if I satisfies the condition SI ⊆ I. We introduce and investigate the concepts of 2-absorbing ideals and strongly 2-absorbing ideals of S.
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On 2-absorbing bipolar fuzzy ideals over LA -semigroups

Journal of Intelligent & Fuzzy Systems, 2021
The aim of this manuscript is to apply bipolar fuzzy sets for dealing with several kinds of theories in LA -semigroups. To begin with, we introduce the concept of 2-absorbing (quasi-2-absorbing) bipolar fuzzy ideals and strongly 2-absorbing (quasi-strongly 2-absorbing) bipolar fuzzy ideals in LA -semigroups, and investigate several related properties ...
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ON 2-ABSORBING STRONG PRIMARY FUZZY IDEALS IN LATTICES

Missouri Journal of Mathematical Sciences
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Sujitha, S., Dheena, P., Sivakumar, D.
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On 2-absorbing ideals of non-commutative semirings

Journal of Algebra and Its Applications
Let [Formula: see text] be a non-commutative semiring with [Formula: see text]. We study the notions of 2-absorbing and strong 2-absorbing ideals of [Formula: see text] and we show that if the semiring is commutative, then these two notions are the same. Also, we give an example to show that in general, these two notions are different. Many properties
Mohammad Adarbeh, Mohammad Saleh
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2-absorbing ?-semiprimary Ideals of Commutative Rings

2021
Let R be a commutative ring with nonzero identity, I(R) the set of all idealsof R and δ: I(R) → I(R) an expansion of ideals of R. In this paper, we introduce theconcept of 2-absorbing δ-semiprimary ideals in commutative rings which is an extensionof 2-absorbing ideals. A proper ideal I of R is called 2-absorbing δ-semiprimary idealif whenever a, b, c ∈
Yetkin-Çelikel, Ece, Çelikel, Ece Yetkin   +1 more
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ON 2-ABSORBING PRIMAL IDEALS

Far East Journal of Mathematical Sciences (FJMS), 2018
Ameer Jaber, Hamed Obiedat
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On Graded 2-Absorbing and Graded Weakly 2-Absorbing Ideals of a Commutative Ring

2017
Let G be a group with identity e and R be a G-graded commutative ring with 1 6= 0. In this paper,we study the graded versions of 2-absorbing and weakly 2-absorbing ideals which are generalizations of thegraded prime and graded weakly prime ideals, respectively. A graded proper ideal I of R is called a graded 2-absorbing (resp. graded weakly 2-absorbing)
NAGHANİ, Sadegh Rahimi, MOGHİMİ, Hosein Fazaeli   +1 more
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On Graded 2-Absorbing Quasi Primary Ideals

2022
In this article, we introduce the concept of graded 2-absorbing quasi primary ideal which is a generalization of graded prime ideal. In the first part of the paper, we give many characterizations of these classes of ideals. In the second part, we study idealization of graded modules. In particular, we investigate graded radical in the idealization of a
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1-Absorbing Prime Ideals and Weakly 1-Absorbing Prime Ideals in Noncommutative Rings

Sao Paulo Journal of Mathematical Sciences, 2023
Nico Groenewald
exaly