Please use this identifier to cite or link to this item:
Title: Absolute co-supplement and absolute co-coclosed modules
Authors: Keskin Tütüncü, Derya
Toksoy, Sultan Eylem
Keywords: Supplement submodule
Absolute co-supplement module
General module theory
Issue Date: 2013
Publisher: Hacettepe Üniversitesi
Source: Keskin Tütüncü, D., and Toksoy, S. E. (2013). Absolute co-supplement and absolute co-coclosed modules. Hacettepe Journal of Mathematics and Statistics, 42(1), 67-79.
Abstract: A module M is called an absolute co-coclosed (absolute co-supplement) module if whenever M ≅ T/X the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute co-coclosed (absolute co-supplement) are precisely determined. We also investigate the rings whose (finitely generated) absolute co-supplement modules are projective. We show that a commutative domain R is a Dedekind domain if and only if every submodule of an absolute co-supplement R-module is absolute co-supplement. We also prove that the class Coclosed of all short exact sequences 0→A→B→C→0 such that A is a coclosed submodule of B is a proper class and every extension of an absolute co-coclosed module by an absolute co-coclosed module is absolute co-coclosed.
ISSN: 1303-5010
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5282.pdfMakale310.72 kBAdobe PDFThumbnail
Show full item record

CORE Recommender

Page view(s)

checked on Feb 23, 2024


checked on Feb 23, 2024

Google ScholarTM


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.