Results 31 to 40 of about 17,177 (306)
Two New Types of Rings Constructed from Quasiprime Ideals
International Journal of Mathematics and Mathematical Sciences, 2011 Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring.
Manal Ghanem, Hassan Al-Ezeh
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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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Semiderivations of Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1990 A semiderivation of a ring R R is an additive mapping
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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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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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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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Decomposing symmetric powers of certain modular representations of cyclic groups [PDF]
, 2009 For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p^2.
David L. Wehlau +3 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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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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