Volume 16 Issue 4 - June 2020

  • 1. An analytical approach to understand projective, injective and flat modules

    Authors : Ashwani Kumar Garg, Dhirendra Kumar Shukla, Brajendra Tiwari

    Pages : 48-53

    DOI : http://dx.doi.org/10.21172/1.164.08

    Keywords : Vector space, Projective modules, Injective modules and Flat modules.

    Abstract :

    This article sets out a way to deal with know the idea of different modules in vector space as projective modules, injective modules, and flat modules. The definition and properties of the modules are clarified and talked about personally. during this specific circumstance, it's essential to comprehend that a vector space is furthermore called linear space. it's a progression of items, alleged vectors, which will be added and multiplied by numbers. during this specific circumstance, they're called scalars. A module is one of the elementary algebraic structures used in unique abstract algebra. A module on a ring is regularly speculation of the idea of vector space on a field.

    Citing this Journal Article :

    Ashwani Kumar Garg, Dhirendra Kumar Shukla, Brajendra Tiwari, "An analytical approach to understand projective, injective and flat modules", Volume 16 Issue 4 - June 2020, 48-53