Gorens tein homological invariant proper ties under Frobenius extensions

• 作 者: Zhibing Zhao
• 机 构: SchoolofMathematicalSciences
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年12期
• 关键词: FROBENIUS EXTENSIONS SEPARABLE EXTENSIONS GORENSTEIN PROJECTIVE modules represen
• 基金项目: supported by National Natural Science Foundation of China(Grant No.11571329),the Natural Science Foundation of Anhui Province(Grant No.1708085MA01).

We prove that for a Frobenius extension,a module over the extension ring is Gorenstein projective if and only if its underlying module over the base ring is Gorenstein projective.For a separable Frobenius extension between Artin algebras,we obtain that th