Results 21 to 30 of about 1,772,297 (314)
On the left strongly prime modules and their radicals
Lietuvos Matematikos Rinkinys, 2010 We give the new results on the theory of the one-sided (left) strongly prime modules and their strongly prime radicals. Particularly, the conceptually new and short proof of the A.L.Rosenberg’s theorem about one-sided strongly prime radical of the ring ...
Algirdas Kaučikas
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A NOTE ON β-DERIVATIONS IN PRIME NEAR RING [PDF]
Matrix Science Mathematic, 2021 In this paper, we prove commutativity of prime near rings by using the notion of β-derivations. Let M be a prime near ring. If there exist p,q ϵ M and two sided nonzero β-derivation f on M, where β:M→M is a homomorphism, satisfying the following ...
Abdul Rauf Khan +2 more
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Graded weakly 1-absorbing prime ideals
Cubo, 2022 In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir +3 more
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On a problem of commutativity of automorphims
International Journal of Mathematics and Mathematical Sciences, 1998 In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α,β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α+α−1=β+β−1, then either α=β or α=β−1.
M. Anwar Chaudhry, A. B. Thaheem
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Approximaitly Prime Submodules and Some Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity.
Ali Sh. Ajeel, Haibat K. Mohammad Ali
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HUBUNGAN DERIVASI PRIME NEAR-RING DENGAN SIFAT KOMUTATIF RING
E-Jurnal Matematika, 2017 Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings.
PRADITA Z. TRIWULANDARI +2 more
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Conjugates in prime rings [PDF]
Transactions of the American Mathematical Society, 1971 Let R be a prime ring with identity, center ZO GF(2), and a nonidentity idempotent. If R is not finite and if x E R-Z, then x has infinitely many distinct conjugates in R. If R has infinitely many Z-independent elements then x E R-Z has infinitely many Z-independent conjugates.
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Representations of prime rings [PDF]
Transactions of the American Mathematical Society, 1953 This paper is a continuation of the study of prime rings started in [2]. We recall that a prime ring is a ring having its zero ideal as a prime ideal. A right (left) ideal I of a prime ring R is called prime if abCI implies that acI (bCI), a and b right (left) ideals of R with b5O (aXO).
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Derivations in Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1982 Let R R be a ring and d ≠ 0 d \ne 0 a derivation of R R such that d ( x n ) = 0 d({x^n}) = 0 , n = n ( x ) ⩾ 1
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