Results 121 to 130 of about 4,079 (208)

Strong Commutativity Preserving Maps of Semiprime Rings [PDF]

, 1994
Matej Brešar, C. Robert Miers
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Semiprime modules with maximum conditions

Journal of Algebra, 1973
AbstractA module RM is semiprime if for each 0 ≠ m ϵ M there exists ƒ ϵ HomR(M, R) with (mƒ)m ≠ 0. In Section 1 semiprime artinian modules are seen to be isomorphic to finite direct sums of minimal left ideals generated by idempotents. Semiprime noetherian modules have endomorphism rings which are left orders in semisimple artinian rings; and necessary
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Hopfian and Bassian algebras [PDF]

arXiv, 2017
A ring $A$ is called Hopfian if $A$ cannot be isomorphic to a proper homomorphic image $A/J$. $A$ is called Bassian if there cannot be an injection of $A$ into a proper homomorphic image $A/J$. We consider classes of Hopfian and Bassian rings, and tie representability of algebras and chain conditions on ideals to these properties.
arxiv  

Algebraic ideals of semiprime Banach algebras [PDF]

, 1991
S. Giotopoulos, M. Roumeliotis
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Goldie criteria for some semiprime rings [PDF]

, 1991
Ken A. Brown, B. A. F. Wehrfritz
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On Completely Semiprime, Semiprime And Prime Fuzzy Ideals In Ordered Semigroups

, 2011
In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of ...
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Affirmative answer to the Question of Leroy and Matczuk on injectivity of endomorphisms of semiprime left Noetherian rings with large images [PDF]

arXiv
The class of semiprime left Goldie rings is a huge class of rings that contains many large subclasses of rings -- semiprime left Noetherian rings, semiprime rings with Krull dimension, rings of differential operators on affine algebraic varieties and universal enveloping algebras of finite dimensional Lie algebras to name a few.
arxiv  

A note on Jordan left *-centralizers on prime and semiprime rings with involution

Journal of Taibah University for Science, 2017
The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad, N.M. Muthana, Z.S. Alkhamisi   +2 more
doaj  

On Graded Semiprime Submodules

, 2012
Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper we define graded semiprime submodules of a graded R-moduleM and we give a number of results concerning such submodules. Also, we extend some results of graded semiprime submoduls to graded weakly semiprime submodules.
Farkhonde Farzalipour, Peyman Ghiasvand
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A note on Cohn's universal localisation at a semiprime ideal [PDF]

, 2004
John A. Beachy
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