منابع مشابه
Some Small-Centralizer Properties for Rings
We characterize rings R in which certain elements x have the property that CR(x) (resp. the set of zero divisors in CR(x)) is finite. We also explore the consequences of an assumption that certain x satisfy CR(x) = 〈x〉.
متن کامل0-primitive Near-rings, Minimal Ideals and Simple Near-rings
We study the structure of 0-primitive near-rings and are able to answer an open question in the theory of minimal ideals in near-rings to the negative, namely if the heart of a zero symmetric subdirectly irreducible near-ring is subdirectly irreducible again. Also, we will be able to classify when a simple near-ring with an identity and containing a minimal left ideal is a Jacobson radical near...
متن کاملON ANTI FUZZY IDEALS IN NEAR-RINGS
In this paper, we apply the Biswas’ idea of anti fuzzy subgroups toideals of near-rings. We introduce the notion of anti fuzzy ideals of near-rings,and investigate some related properties.
متن کاملRings That Are Homologically of Minimal Multiplicity
Let R be a local Cohen-Macaulay ring with canonical module ωR. We investigate the following question of Huneke: If the sequence of Betti numbers {β i (ωR)} has polynomial growth, must R be Gorenstein? This question is well-understood when R has minimal multiplicity. We investigate this question for a more general class of rings which we say are homologically of minimal multiplicity. We provide ...
متن کاملβ 1 Near - Rings
distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper we introduce the notion of β 1 near-rings and study some of their properties. We furnish a complete characterization and also a structure theorem for such near-rings. 1 Introduction A right ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1995
ISSN: 0263-6115
DOI: 10.1017/s144678870003857x