On GF projective modules and dimension
作者: Lingling Tan
刊名: Asia Mathematika, 2018, Vol.2 (1)
来源数据库: Asia Mathematika editorial office
关键词: Gorenstein flat moduleGF-projective module(global) 𝘎GF-projective dimension.
原始语种摘要: In this paper, we introduce the notion of (strongly) 𝘎𝘍-projective modules. We show that a module is projective if and only if it is GF-projective and its Gorenstein flat dimension is at most 1, if and only if it is strongly GF-projective and Gorenstein flat. Moreover, we investigate (global) GF-projective dimensions of modules and rings, and some applications are presented.
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关键词翻译
关键词翻译
  • 概念 球状的
  • projective 投射的
  • dimension 测定
  • applications 应用程序
  • module 模数
  • introduce 引进
  • rings 泥包
  • strongly 强烈地
  • only 唯一的
  • global 球状的
  • notion 球状的