On some injective modules in sigma[M]


Oezcan A. Ç. , TUETUENCUE D. K. , YOUSIF M. F.

International Conference on Modules and Comodules, Porto, Portugal, 6 - 08 September 2006, pp.313-315 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1007/978-3-7643-8742-6_21
  • City: Porto
  • Country: Portugal
  • Page Numbers: pp.313-315

Abstract

In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in sigma [M]. For any module N in sigma[M], N is strongly mininjective in sigma[M] if and only if it is strongly simple-injective in sigma[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in sigma[M] is strongly soc-injective. We also characterize Noetherian QF-modules.