Results 21 to 30 of about 451,522 (183)
Semiderivations of Prime Rings [PDF]
A semiderivation of a ring R R is an additive mapping f : R → R f:R \to R together with a function g : R → R g:R \to R such that f ( x y ) = f ( x ) g
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On the left strongly prime modules and their radicals
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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Graded weakly 1-absorbing prime ideals
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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A NOTE ON β-DERIVATIONS IN PRIME NEAR RING [PDF]
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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On a problem of commutativity of automorphims
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
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
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]
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
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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High Spatial Resolution X-Ray Spectroscopy of the IC443 Pulsar Wind Nebula and Environs [PDF]
Deep Chandra ACIS observations of the region around the putative pulsar, CXOU J061705.3+222127, in the supernova remnant IC443 reveal an ~5$^{\prime\prime}$-radius ring-like structure surrounding the pulsar and a jet-like feature oriented roughly north ...
Bucciantini, Niccolò +9 more
core +3 more sources

