Some Equivalences and Dualities via Static Modules

• 作者: Salah Al-Nofayee Syed Khalid Nauman
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: STATIC MODULES Finitely Cogenerated INJECTIVE MODULES Finitely Generated PROJECTIVE MODULES
• 年，卷（期）: llsxjzyw_2011,（6）
• 页码范围: 359-362
• 页数: 4页
• 分类号: O1

摘要

For a ring A, an extension ring B, a fixed right A-module M, the endomorphism ring D formed by M, the endomorphism ring E formed by , and the endomorphism ring F formed by HomA (B,M), we present equivalences and dualities between subcategories of B-modules which are finitely cogenerated injective as A-modules and E-modules and F-modules which are finitely generated projective as D-modules.