Results 1 to 10 of about 6,165,152 (262)
Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring
In this paper, we establish that the LaskerâNoether theorem for a commutative ring may be generalized for a commutative semiring. We produce an example of an ideal in a Noetherian semiring which cannot be expressed as finite intersection of primary ...
S. Kar, S. Purkait, B. Davvaz
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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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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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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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Energetic Co-Crystal of a Primary Metal-Free Explosive with BTF. Ideal Pair for Co-Crystallization
Co-crystallization is an elegant technique to tune the physical properties of crystalline solids. In the field of energetic materials, co-crystallization is currently playing an important role in the engineering of crystals with improved performance ...
Kyrill Yu. Suponitsky +6 more
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The Structure of Neutrosophic Radical of an ideal and Primary Ideal in Neutrosophic Rings [PDF]
In this study, we define radical and primary ideals as novel types of neutrosophic substructures within a neutrosophic ring. We investigate the properties of these substructures based on the characteristics of neutrosophic rings.
Murhaf Riad Alabdullah
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