頁籤選單縮合
題 名 | Brown-McCoy Radicals for Near-Rings |
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作 者 | Rao, Ravi Srinivasa; Sujatha, T.; | 書刊名 | 東吳數理學報 |
卷 期 | 33:4 2007.10[民96.10] |
頁 次 | 頁787-801 |
分類號 | 313.28 |
關鍵詞 | Brown-McCoy radicals of near-rings; Weakly G-regular elements of type-ν; Weakly ν-semi-nilpotent elements; |
語 文 | 英文(English) |
英文摘要 | In this paper two more radicals Bs and Bs are introduced for near 1 1(0) rings which generalize the Brown-McCoy radical of rings. It is proved that Bs 1 is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings but it is not a KA-radical in the class of all near-rings. Moreover,Bs is aKA-radicalin the class ofall near-rings andfor a near-ringR,Bs (I) 1(0) 1(0) ⊆ Bs 1(0) (R)∩ Ifor all ideals I of R and the equality holds if I is a left invariant ideal of R. |
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