On the rings whose injective modules are max-projective
by
Yurtsever, Haydar Baran, author.
Title
:
On the rings whose injective modules are max-projective
Author
:
Yurtsever, Haydar Baran, author.
Personal Author
:
Yurtsever, Haydar Baran, author.
Physical Description
:
vii, 39 leaves: + 1 computer laser optical disc
Abstract
:
n this thesis, for some classes of rings including, local, semilocal right semihereditary and right Noetherian right nonsingular, we obtain some conditions that equivalent to being right max-QF. For example, for a semilocal right semihereditary ring, we prove that, the ring is right max-QF if and only if it is a direct product of a semisimple ring and a right small ring. A right Noetherian right nonsingular ring is right max-QF if and only if every injective module can be expressed as a direct sum of an injective module with no maximal submodules and a projective module. We show that, for a ring, being max-QF and almost-QF are not left-right symmetric. An example is given in order to show that max-QF and almost-QF rings are not closed under factor rings.
Subject Term
:
Injective modules (Algebra)
Added Author
:
Büyükaşık, Engin,
Added Corporate Author
:
Izmir Institute of Technology. Mathematics.
Added Uniform Title
:
Thesis (Master)--İzmir Institute of Technology:Mathematics.
İzmir Institute of Technology:Mathematics--Thesis (Master).
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | Thesis | T002782 | QA251.3 .Y958 2023 | Tez Koleksiyonu |
IYTE Library | Supplementary CD-ROM | ROM3925 | QA251.3 .Y958 2023 EK.1 | Tez Koleksiyonu |