Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings
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چکیده
منابع مشابه
Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings
By a near-ring we mean a right near-ring. J 0 , the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radical J 0 are studied. It is shown that J 0 is a Kurosh-Amitsur radical KA-radical in the variety of all near-rings R, in which the constant part Rc of R is an ideal of R. So unlike the left Jacobson radicals of ty...
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The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on these J 0(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J 0 is a radical map andN(R)⊆ J 0(R), whereN(R) is the nil radical of a near-ring R. Some characterizations of J 0(R) are given and its relation with some of the radicals is also di...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2008
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2008/741609