ON SUBPROJECTIVITY DOMAINS OF GOLDIE TORSION MODULES


Durğun Y. , Çobankaya A.

7th IFS and Contemporary Mathematics Conference, Mersin, Turkey, 25 - 29 May 2021, pp.86-87

  • Publication Type: Conference Paper / Summary Text
  • City: Mersin
  • Country: Turkey
  • Page Numbers: pp.86-87

Abstract

In this study, we investigated subprojectivity domains of goldie torsion modules. A module X is called to be Y -subprojective if for every epimorphism π : P → Y and every homomorphism α : X → Y , there exists a homomorphism γ : X → P such that πγ = α. For any module X, the subprojectivity domain Pr−1 (X) of X is defined to be the collection of all modules Y such that X is called to be Y -subprojective. The smallest possible subprojectivity domain of a goldie torsion module is the class of ec-flat modules. Ec-flat modules are studied and introduced in [1]. Nonsingular modules and projective modules are clear examples of ec-flat modules. Goldie torsion modules whose subprojectivity domain is smallest as possible will be called gp-indigent. Properties of subprojectivity domains of goldie torsion modules and of gp-indigent modules are studied.