Results 111 to 120 of about 59,526 (169)
A look at the prime and semiprime operations of one-dimensional domains [PDF]
arXiv, 2009 We continue the analysis of prime and semiprime operations over one-dimensional domains started in \cite{Va}. We first show that there are no bounded semiprime operations on the set of fractional ideals of a one-dimensional domain. We then prove the only prime operation is the identity on the set of ideals in semigroup rings where the ideals are ...
arxiv
Strong Commutativity Preserving Maps of Semiprime Rings [PDF]
, 1994 Matej Brešar, C. Robert Miers
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On Semiprime Rings with Generalized Derivations
Boletim da Sociedade Paranaense de Matemática, 2010 Let R be a ring and F and G be generalized derivations of R with associated derivations d and g respectively. In the present paper,we shall investigate the commutativity of semiprime ring R admitting generalized derivations F and G satisfying any one of ...
Shakir Ali +3 more
doaj
Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
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On the structure of Goldie Modules [PDF]
arXiv, 2016 Given a semiprime Goldie module $M$ projective in $\sigma[M]$ we study decompositions on its $M$-injective hull $\hat{M}$ in terms of the minimal prime in $M$ submodules. With this, we characterize the semiprime Goldie modules in $\mathbb{Z}$-Mod and make a decomposition of the endomorphism ring of $\hat{M}$.
arxiv
Goldie criteria for some semiprime rings [PDF]
, 1991 Ken A. Brown, B. A. F. Wehrfritz
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A new notion of semiprime submodules [PDF]
arXivWe introduce a new concept of a semiprime submodule. We show that a submodule of a finitely generated module over a commutative ring is semiprime if and only if it is radical, that is, an intersection of prime submodules. Using our notion, we also provide a new characterization of radical submodules of finitely generated modules over commutative rings.
arxiv
Jordan mappings of semiprime rings
Journal of Algebra, 1989 An additive mapping 8 of a ring R into a 2-torsion free ring R’ is called a Jordan homomorphism if 6(ab +&z)=@(a) 8(b)+ 6(b) @(a) for all a, bE R. A well-known result of I. N. Herstein [4] states that every Jordan homomorphism onto a prime ring is either a homomorphism or an antihomomorphism.
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ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS [PDF]
, 2005 Kyoo-Hong Park
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ON PRIME AND SEMIPRIME RINGS WITH PERMUTING 3-DERIVATIONS [PDF]
, 2007 Yong-Soo Jung, Kyoo-Hong Park
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