Results 81 to 90 of about 918,603 (135)
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Zhou H +5 more
europepmc +1 more source
Semiprime f-Rings That Are Subdirect Products of Valuation Domains
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whenever c ≥ 0. In [BKW], an f-ring is defined to be a lattice-ordered ring which is a subdirect product of totally ordered rings.
Suzanne Larson +3 more
core +2 more sources
A subdirect decomposition of semiprime rings and its application to maximal quotient rings
Levy [2] has examined semiprime rings which are irredundant subdirect products of prime rings. In this note we look at the role of inessential prime ideals and see how every semiprime ring is a subdirect product of (i) a semiprime ring which is an ...
Louis Halle Rowen
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On Centrally Semiprime Rings and Centrally Semiprime [PDF]
In this paper, two new algebraic structures are introduced which we call a centrally semiprime ring and a centrally semiprime right near-ring, and we look for those conditions which make centrally semiprime rings as commutative rings, so that several ...
Adil Kadir Jabbar +1 more
core +2 more sources
A Generalization of Source of Semiprimeness
This paper characterizes the semigroup ideal $\mathcal{L}_{R}^{n}(I)$ of a ring $R$, where $I$ is an ideal of $R$, defined by $\mathcal{L}_{R}^{0}(I)=I$ and $\mathcal{L}_{R}^{n}(I)=\{a\in R \mid aRa\subseteq \mathcal{L}_{R}^{n-1}(I)\}$, for all $n\in ...
Çetin Camcı +3 more
doaj +1 more source
Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings
Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed ...
Vincenzo De Filippis +2 more
doaj +1 more source
On Ideals and Orthogonal Generalized Derivations of Semiprime Rings [PDF]
In this paper, some results concerning orthogonal generalized derivations are generalized for a nonzero ideal of a semiprime ring. These results are a generalization of results of M. Brešar and J.
Albas, Emine
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Centralizing Mappings of Semiprime Rings
Let R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism
W. S. Martindale, H. E. Bell
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Primeness and semiprimeness in posets [PDF]
summary:The concept of a semiprime ideal in a poset is introduced. Characterizations of semiprime ideals in a poset $P$ as well as characterizations of a semiprime ideal to be prime in $P$ are obtained in terms of meet-irreducible elements of the lattice
Mokbel, Khalid A., Kharat, Vilas S.
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