Results 1 to 10 of about 89,695 (313)
Radical Structures of Fuzzy Polynomial Ideals in a Ring [PDF]
Discrete Dynamics in Nature and Society, 2016 We investigate the radical structure of a fuzzy polynomial ideal induced by a fuzzy ideal of a ring and study its properties. Given a fuzzy ideal β of R and a homomorphism f:R→R′, we show that if fx is the induced homomorphism of f, that is, fx(∑i=0naixi)
Hee Sik Kim, Chang Bum Kim, Keum Sook So
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A radical for right near-rings: The right Jacobson radical of type-0 [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on these J0r(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J0r is a radical map and N(R)⊆J0r(R),
Ravi Srinivasa Rao, K. Siva Prasad
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A Note on Radicals of Paragraded Rings
Sarajevo Journal of MathematicsIn this paper we prove that there exist paragraded rings which are not graded and we discuss prime and Jacobson radicals of paragraded rings. In particular, we prove that paragraded counterparts of prime and Jacobson radicals are the largest paragraded ideals contained in them.
Emil Ilić-Georgijević +1 more
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Generalizations of $ss$-supplemented modules
Karpatsʹkì Matematičnì Publìkacìï, 2021 We introduce the concept of (strongly) $ss$-radical supplemented modules. We prove that if a submodule $N$ of $M$ is strongly $ss$-radical supplemented and $Rad(M/N)=M/N$, then $M$ is strongly $ss$-radical supplemented.
I. Soydan, E. Türkmen
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Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring
Fuzzy Information and Engineering, 2023 In this paper, we develop a systematic theory for the ideals of an L-ring L(μ, R). We introduce the concepts of a prime ideal, a semiprime ideal, and the radical of an ideal in an L-ring. The notion of a maximal ideal has been introduced and discussed in
Anand Swaroop Prajapati +2 more
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On the distributivity of the lattice of radical submodules [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a commutative ring with identity and $\mathcal{R}(_{R}M)$ denotes the bounded lattice of radical submodules of an $R$-module $M$. We say that $M$ is a radical distributive module, if $\mathcal{R}(_{R}M)$ is a distributive lattice.
Hossein Fazaeli Moghimi +1 more
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A Generalization of the Prime Radical of Rings
Natural and Applied Sciences Journal, 2023 Let $R$ be a ring, $I$ be an ideal of $R$, and $\sqrt{I}$ be a prime radical of $I$. This study generalizes the prime radical of $\sqrt{I}$ where it denotes by $\sqrt[n+1]{I}$, for $n\in \mathbb{Z}^{+}$. This generalization is called $n$-prime radical of ideal $I$.
Didem KARALARLIOĞLU CAMCI +3 more
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Symmetry, 2022 The nature of universe problems is ambiguous due to the presence of asymmetric data in almost all disciplines, including engineering, mathematics, medical sciences, physics, computer science, operations research, artificial intelligence, and management sciences, and they involve various types of uncertainties when dealing with them on various occasions.
Kasi Porselvi +3 more
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π–π Stacking Interaction of Metal Phenoxyl Radical Complexes
Molecules, 2022 π–π stacking interaction is well-known to be one of the weak interactions. Its importance in the stabilization of protein structures and functionalization has been reported for various systems.
Hiromi Oshita, Yuichi Shimazaki
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Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space
Al-Jabar, 2020 A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class for some positive integer In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical.
Puguh Wahyu Prasetyo +2 more
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