Results 31 to 40 of about 725,736 (307)
On Primary Ideals. Part I [PDF]
Summary . We formalize in the Mizar System [3], [4], definitions and basic propositions about primary ideals of a commutative ring along with Chapter 4 of [1] and Chapter III of [8]. Additionally other necessary basic ideal operations such as compatibilities taking radical and intersection of finite number of ...
openaire +1 more source
UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS [PDF]
In this paper, we introduce the concept of uniformly $n$-ideal ofcommutative rings which is a special type of $n$-ideal. We call aproper ideal $I$ of $R$ a uniformly $n$-ideal if there exists apositive integer $k$ for $a,b\in R$ whenever $ab\in I$ and$a ...
Mohammad Baziar +2 more
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Extended Annihilating-Ideal Graph of a Commutative Ring
Let R be a commutative ring with identity. An ideal I of a ring R is called an annihilating-ideal if there exists a nonzero ideal J of R such that IJ = (0) and we use the notation đ¸(R) for the set of all annihilating-ideals of R.
Nithya S., Elavarasi G.
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A note On 2-prime ideals [PDF]
Let $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $
Somayeh Hadjirezaei, Vajihe Sharifi
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1-absorbing primary submodules
Let R be a commutative ring with non-zero identity and M be a unitary R-module. The goal of this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing primary submodules. A proper submodule N of M is said to be a 1-absorbing primary
Celikel Ece Yetkin
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Semi r-ideals of commutative rings
For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
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In 2017, Chile enacted new legislation allowing access to legal abortion on three grounds, including rape. This article summarizes a qualitative, exploratory study that examined the role of primary healthcare services in the treatment of rape survivors ...
Lidia C. Casas +5 more
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Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides highâsensitivity, isomerâresolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
On (3, 1)-absorbing primary ideals in commutative rings
In 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
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Aims: Little information exists on the associations of cardiovascular health, a new metric proposed by the American Heart Association, and executive function, particularly in children.
Zhaohuan Gui +5 more
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