Results 51 to 60 of about 4,079 (208)
Journal of Physics: Conference Series, 2021 Abstract Let R be a commutative ring with an identity, and G be a unitary R-module. We say that an R-module G is small semiprime if (0 G ) is small Semiprime submodule of G. Equivalently, an R-module G is small semiprime iff ann ρ= vÄP for each proper small submodule ρ of G.
Haider A. Ramadhan +1 more
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Radicals of Generalized Prime Ideals in Ternary Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon +2 more
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Generalized multiplicative α-skew derivations on rings
Boletim da Sociedade Paranaense de Matemática, 2022 Let R be a semiprime (or prime) ring and U be a nonzero ideal of R. In the present paper, we study the notions of multiplicative generalized α-skew derivations on ideals of R and prove that if R admits a multiplicative generalized α-skew derivation G ...
Abdelkarim Boua +2 more
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On τ-centralizers of semiprime rings
Siberian Mathematical Journal, 2007 Let R be a semiprime 2-torsion free ring, and let τ be an endomorphism of R. Under some conditions we prove that a left Jordan τ-centralizer of R is a left τ-centralizer of R. Under the same conditions we also prove that a Jordan τ-centralizer of R is a τ-centralizer of R. We thus generalize Zalar’s results to the case of τ-centralizers of R.
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Notes on Semiprime Ideals with Symmetric Bi-Derivation
AxiomsIn this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in ...
Ali Yahya Hummdi +3 more
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Additive maps on prime and semiprime rings with involution
Hacettepe Journal of Mathematics and Statistics, 2019 Let $R$ be an associative ring. An additive map $x\mapsto x^*$ of $R$ into itself is called an involution if (i) $(xy)^*=y^*x^*$ and (ii) $(x^*)^*=x$ hold for all $x\in R$.
Adel Alahmadi +4 more
semanticscholar +1 more source
On graded weakly $ J_{gr} $-semiprime submodules
AIMS MathematicsLet $ \Gamma $ be a group, $ \mathcal{A} $ be a $ \Gamma $-graded commutative ring with unity $ 1, $ and $ \mathcal{D} $ a graded $ \mathcal{A} $-module.
Malak Alnimer +2 more
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Quantum Groupoids Acting on Semiprime Algebras
Advances in Mathematical Physics, 2011 Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
Inês Borges, Christian Lomp
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Commutativity results for semiprime rings with derivations
International Journal of Mathematics and Mathematical Sciences, 1998 We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x),d(y)]=0 for all x,y∈R, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ...
Mohammad Nagy Daif
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Embeddings of semiprime rings into semisimple Artinian rings [PDF]
arXiv, 2023 Goldie's Theorem implies that a semiprime left Goldie ring is embeddable into a semisimple Artinian ring. On the other hand, there are domains that are not embeddable into division rings. A criterion for a semiprime ring being embeddable into a semisimple Artinian ring is given.
arxiv