頁籤選單縮合
題 名 | Weakly Primal Submodules |
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作 者 | Atani, S. Ebrahimi; Darani, A. Yousefian; | 書刊名 | Tamkang Journal of Mathematics |
卷 期 | 40:3 2009.秋[民98.秋] |
頁 次 | 頁239-245 |
分類號 | 310 |
關鍵詞 | Weakly primal; Primal; Weakly prime; |
語 文 | 英文(English) |
英文摘要 | Let R be a commutative ring and let M be an R-module. A submodule N of M is called a weakly primal submodule provided that the set P=w(N) ∪ {0} forms an ideal of R. Here w(N) is the set of elements of R that are not weakly prime to N, where an element r ∈ R is not weakly prime to N if 0≠6 rm ∈ N for some m ∈ MN. In this paper we give some basic results about weakly primal submodules. Also we discuss on the relations between the classes of the weakly primal submodules of M and the weakly primal submodules of modules of fractions of M. |
本系統中英文摘要資訊取自各篇刊載內容。