Results 31 to 40 of about 676,834 (301)
On Zero-Symmetric Left Centrally Prime Near-Rings [PDF]
Kirkuk Journal of Science, 2007 Our aim in this paper is: to give some properties of zero-symmetric left centrally prime near-rings, then looking for those conditions which make zero-symmetric left centrally prime near-rings abelian, so that several conditions are given under which ...
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ON SEMIDERIVATIONS OF PRIME RINGS
Demonstratio Mathematica, 2004 Summary: A semiderivation of a ring \(R\) is an additive mapping \(f\colon R\to R\) together with a function \(g\colon R\to R\) such that \(f(xy)=f(x)g(y)+xf(y)=f(x)y+g(x)f(y)\) and \(f(g(x))=g(f(x))\) for all \(x,y\in R\). If \(f\) is a non-zero semiderivation of a prime ring \(R\), then it is known that \(g\) must necessarily be an endomorphism. Let \
Ashraf, Mohammad, Nadeem-ur-Rehman
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A Generalization of the Prime Radical of Rings
Natural and Applied Sciences Journal, 2023 Let $R$ be a ring, $I$ be an ideal of $R$, and $\sqrt{I}$ be a prime radical of $I$. This study generalizes the prime radical of $\sqrt{I}$ where it denotes by $\sqrt[n+1]{I}$, for $n\in \mathbb{Z}^{+}$. This generalization is called $n$-prime radical of ideal $I$.
Didem KARALARLIOĞLU CAMCI +3 more
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Primes in products of rings [PDF]
Pacific Journal of Mathematics, 1971 This paper is an elementary note which indicates how Harrison's primes sit in certain kinds of rings. It is proved that primes behave nicely under finite direct products. Also it is shown that any nil ideal is a subset of every prime. This gives information about the primes of artinian rings.
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DERIVATIONS ON PRIME AND SEMI-PRIME RINGS
Bulletin of the Korean Mathematical Society, 2002 Several results concerning derivations on rings and Banach algebras are proved. A sample theorem: Let \(n\) be a positive integer and let \(R\) be an \(n!\)-torsionfree semiprime ring. If \(D\) and \(G\) are derivations on \(R\) such that \([D^2(x)+G(x),x^n]=0\) for all \(x\in R\), then \([D(x),x]=[G(x),x]=0\) for all \(x\in R\).
Lee, Eun Hwi +2 more
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Characteristic of Rings. Prime Fields
Formalized Mathematics, 2015 Summary The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over
Christoph Schwarzweller +1 more
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About unital and non-unital duo rings [PDF]
Proceedings of the Estonian Academy of SciencesSeveral results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
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On the number of prime order subgroups of finite groups [PDF]
, 2009 Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart +3 more
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International Journal of Mathematics and Mathematical Sciences, 1994 Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of ...
Hazar Abu-Khuzam, Adil Yaqub
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SOME IDENTITIES INVOLVING ENDOMORPHISMS OF PRIME RINGS [PDF]
Journal of Algebraic SystemsIn this paper we will extend some results on the commutativity of quotient rings proved in [1] and [11]. However, we will consider endomorphisms instead of derivations and generalized derivations, which is sufficient to obtain good results.
Abdelkarim Boua
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