Absolutely Supplement And Absolutely Complement Modules
by
Erdoğan, Sultan Eylem.
Title
:
Absolutely Supplement And Absolutely Complement Modules
Author
:
Erdoğan, Sultan Eylem.
Personal Author
:
Erdoğan, Sultan Eylem.
Publication Information
:
[s.l.]: [s.n.], 2004.
Physical Description
:
vi, 49 leaves.: ill. + 1 computer laser optical disc.
Abstract
:
We introduce and study absolutely supplement (respectively complement) modules. We call a module an absolutely supplement (respectively complement) if it is a supplement (respectively complement) in every module containing it. We show that a module is absolutely supplement (respectively complement) if and only if it is a supplement (respectively complement) in its injective envelope. The class of all absolutely supplement (respectively complement) modules is closed under extensions and under supplement submodules (respectively under factor modules by complement submodules). We also consider the dual notions of absolutely co-supplements (respectively co-complements).
Subject Term
:
Algebra, Homological
Added Author
:
Alizade, Refail
Added Corporate Author
:
İzmir 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 | T000339 | QA169.E66 2004 C.1 | Tez Koleksiyonu |
IYTE Library | Supplementary CD-ROM | ROM0222 | QA169.E66 2004 EK1 | Tez Koleksiyonu |