關于3×3階三角矩陣環(huán)上模的研究

In this paper we carry out a study of modules over a 3 × 3 formal triangular matrix ring г=(T 0 0 M U 0 N○ u M N V ), where T, U, V are rings, M, N are U-T, V-U bimodules, respectively. Using the alternative description of left F-module as quintuple (A, B, C; f, g) with A E modT, B E modU and C ∈ modV, f : M T A → B ∈ modU, g : N u B → C ∈ modV, we shall characterize uniform, hollow and finitely embedded modules over F, respectively. Also the radical as well as the socle of г(A ○B(yǎng)○ C) is determined.

作 者： 史美華 SHI Mei Hua   作者單位： Department of Mathematics, Zhejiang Education Institute, Zhejiang 310012, China  刊 名： 數(shù)學研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O153.3  關鍵詞： triangular matrix ring   uniform module   hollow module   radical   socle  

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