Weak Relative Injective M-Subgenerated Modules

  • Saroj Malik
  • N. Vanaja
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We study weak relative injective and relative tight modules in the category σ[M], where М is a right R-module. Many of the known results in the category of right R-modules are extended to σ[М]without assuming either М is projective or finitely generated. Conditions are given for a A-tight module to be weakly A-injective in σ[M]. Modules for which every submodule is weakly injective (tight) in σ[М] are characterized. Modules М for which every module in σ[М] is weakly injective and for which weakly injective modules are closed under direct sums are studied.

Keywords

Hull Compressibility 

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Saroj Malik
    • 1
  • N. Vanaja
    • 2
  1. 1.Department of MathematicsHindu CollegeNew DelhiIndia
  2. 2.Department of MathematicsUniversity of MumbaiMumbaiIndia

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