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Characterizations of simple-direct modules
Title:
Characterizations of simple-direct modules
Author:
Diril, Müge, author.
Personal Author:
Physical Description:
vii, 45 leaves:+ 1 computer laser optical disc.
Abstract:
In this thesis, we study on simple-direct-injective and simple-direct-projective modules. We give a complete characterization of the aforementioned modules simple-direct-injective and simple-direct-projective modules over the ring of integers. The rings whose simple-direct-injective right modules are simple-direct-projective are fully characterized. These are exactly the left perfect right H-rings. The rings whose simple-direct-projective right modules are simple-direct-injective are right max-rings. For a commutative Noetherian ring, we prove that simple-direct-projective modules are simple-direct-injective if and only if simple-direct-injective modules are simple-direct-projective if and only if the ring is Artinian. In addition, Various closure properties and some classes of modules that are simple-direct-injective (resp. projective) are given.
Subject Term:
Added Uniform Title:
Thesis (Master)--İzmir Institute of Technology: Mathematics.

İzmir Institute of Technology: Mathematics --Thesis (Master).
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