Please use this identifier to cite or link to this item:
Title: Strongly noncosingular modules
Other Titles: Güçlü dual tekil olmayan modüller
Authors: Büyükaşık, Engin
Alagöz, Yusuf
Keywords: R-modules
Issue Date: 2014
Publisher: Izmir Institute of Technology
Abstract: The main purpose of this thesis is to investigate the notion of strongly noncosingular modules. We call a right R-module M strongly noncosingular if for every nonzero right R module N and every nonzero homomorphismf : M → N, Im(f) is not a cosingular (or Radsmall) submodule of N in the sense of Harada. It is proven that (1) A right R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective right R-modules coincides with the class of (strongly) noncosingular right R-modules; (3) a right hereditary ring R is Max-ring if and only if absolutely coneat right R-modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective R-modules coincides with the class of strongly noncosingular R-modules.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014
Includes bibliographical references (leaves: 38-39)
Text in English; Abstract: Turkish and English
vii, 39 leaves
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

Files in This Item:
File Description SizeFormat 
10018486.pdfMasterThesis231.52 kBAdobe PDFThumbnail
Show full item record

CORE Recommender

Page view(s)

checked on Mar 27, 2023


checked on Mar 27, 2023

Google ScholarTM


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