Results 61 to 70 of about 115,699 (314)
Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
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On the primeness of near-rings [PDF]
Arab Journal of Mathematical Sciences, 2019 In this paper, we study the different kinds of the primeness on the class of near-rings and we give new characterizations for them. For that purpose, we introduce new concepts called set-divisors, ideal-divisors, etc. and we give equivalent statements for 3-primeness which make 3-primeness looks like the forms of the other kinds of primeness.
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On the iterates of derivations of prime rings [PDF]
Pacific Journal of Mathematics, 1983 In this paper we study properties of associative derivations whose iterates are related in rather special ways to the original derivation, or to the iterates of another derivation. An associative derivation d: R -» R is an additive (or linear when appropriate) mapping on a ring R satisfying d(xy) — xd(y) 4- d(x)y for all x, y G R.
Martindale, W. S., Miers, C. Robert
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Molecular Oncology, EarlyView.Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker +14 more
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Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
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Some differential identities in prime $gamma$ rings
Boletim da Sociedade Paranaense de Matemática, 2014 Let $M$ be a prime $\Gamma$-ring and $U$ be a nonzero ideal of $M$. An additive mapping $d:M\longrightarrow M,$ where $M$ is a $\Gamma$-ring, is called a derivation if for any $a,b\in M$ and$\alpha \in \Gamma$, $d(a\alpha b)=d(a)\alpha b+a\alpha d(b ...
Mohammad Ashraf, Malik Rashid Jamal
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Journal of Algebra, 1980 In this note, we find similar characteristic properties in terms of certain intersections of maximal left ideals for the following classes of rings: (1) Left V-rings; (2) Left f-V-rings; (3) Left p-V-rings. The well-known characterisation of v-rings due to Villamayor is weakened.
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Prime groupoid graded rings with applications to partial skew groupoid rings [PDF]
arXiv, 2022 In this paper, we investigate primeness of groupoid graded rings. We provide a set of necessary and sufficient conditions for primeness of a nearly-epsilon strongly groupoid graded ring. Furthermore, we apply our main result to get a characterization of prime partial skew groupoid rings, and in particular of prime groupoid rings, thereby generalizing a
arxiv
A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
Molecular Oncology, EarlyView.Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini +11 more
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On Jordan left-I-centralizers of prime and semiprime gamma rings with involution
Journal of the Egyptian Mathematical Society, 2016 Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reverse left-I ...
Kalyan Kumar Dey +2 more
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