منابع مشابه
Structure Theory of Faithful Rings, Iii. Irreducible Rings
The first two papers of this series1 were primarily concerned with a closure operation on the lattice of right ideals of a ring and the resulting direct-sum representation of the ring in case the closure operation was atomic. These results generalize the classical structure theory of semisimple rings. The present paper studies the irreducible components encountered in the direct-sum representat...
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 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 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 ...
متن کاملPseudo-Valuation Near ring and Pseudo-Valuation N-group in Near Rings
In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of , for any multiplication subset S of...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1983
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500004430