The least proper class containing weak supplement
by
Durğun, Yılmaz.
Title
:
The least proper class containing weak supplement
Author
:
Durğun, Yılmaz.
Personal Author
:
Durğun, Yılmaz.
Publication Information
:
[s.l.]: [s.n.], 2009.
Physical Description
:
x, 63 leaves.: ill. + 1 computer laser optical disc.
Abstract
:
The main purpose of this thesis is to investigate the least proper class containing the classWS of R-modules determined by weak supplement submodules over a ring R, in particular, over hereditary rings. A submodule A of a module B has(is) weak supplement if and only if there exist a submodule V in B such that A + V . B and the intersection of submodules of A and V is small in B. The classWS does not form a proper class, in general. By extending the class WS, we obtained the least proper class containing the class WS of R-modules over hereditary rings. We investigate the homological objects of the least proper class. We determine the structure of elements of the proper class by submodules.
Subject Term
:
Modules(Algebra)
Added Author
:
Alizade, Rarail.
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 | T000234 | QA247 .D59 2009 | Tez Koleksiyonu |
IYTE Library | Supplementary CD-ROM | ROM1450 | QA247 .D59 2009 EK1 | Tez Koleksiyonu |