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∇-prime rings and their commutativity
Journal of Taibah University for Science, 2023 Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text ...
Mohammad Aslam Siddeeque +1 more
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Prime ideal on the end_Z (Z^n ) Ring
Al-Jabar, 2022 The set of all endomorphisms over -module is a non-empty set denoted by . From we can construct the ring of over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers.
Zakaria Bani Ikhtiyar +2 more
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On Centrally Prime and Centrally Semiprime Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp.
Adil Jabbar, Abdularahman Majeed
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever is a Prime Ideal For proper submodule N of B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
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Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]
Journal of Hyperstructures, 2017 In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt +3 more
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Some identities in quotient rings
Boletim da Sociedade Paranaense de Matemática, 2022 Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we ...
Mouhamadi El Hamdaoui +2 more
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A characterization of skew $b$-derivations in prime rings [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential ...
Shakir Ali +3 more
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Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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On 3-prime ideal with respect to an element of a near ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions 3- prime ideal with respect to an element x denoted by (x-3-prime ideal ) of a near ring and the 3-prime ideal near ring with respect to an element x denoted by (x-3-prime ideal near ring ) ,and
Showq M. Ibrahem
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On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]
, 2012 In this paper we study commutative rings $R$ whose prime ideals are direct sums of cyclic modules. In the case $R$ is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that
Behboodi, Mahmood +1 more
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