Weak Relative Injective M-Subgenerated Modules

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


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.


Injective Module Cyclic Module Indecomposable Module Essential Extension Injective Hull 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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