T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules

A new generalizations of coretractable modules are introduced where a module  is called t-essentially (weakly t-essentially) coretractable if for all proper submodule  of , there exists f End( ), f( )=0 and Imf tes  (Im f + tes ). Some basic properties are studied and many relationships between thes...

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Main Authors: Inaam Ali Shaham, Shukur Al-Aeashi, Farhan Shyaa
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2021-03-01
Series:Baghdad Science Journal
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3019
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author Inaam Ali Shaham
Shukur Al-Aeashi
Farhan Shyaa
author_facet Inaam Ali Shaham
Shukur Al-Aeashi
Farhan Shyaa
author_sort Inaam Ali Shaham
collection DOAJ
description A new generalizations of coretractable modules are introduced where a module  is called t-essentially (weakly t-essentially) coretractable if for all proper submodule  of , there exists f End( ), f( )=0 and Imf tes  (Im f + tes ). Some basic properties are studied and many relationships between these classes and other related one are presented.
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spelling doaj.art-f3c4f27910dd4939b0ddd34eebc78e832022-12-22T04:07:10ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862021-03-0118110.21123/bsj.2021.18.1.0156T-Essentially Coretractable and Weakly T-Essentially Coretractable ModulesInaam Ali Shaham0Shukur Al-Aeashi 1Farhan Shyaa2University of BaghdadUniversity of KufaUniversity of Al-QadisiyahA new generalizations of coretractable modules are introduced where a module  is called t-essentially (weakly t-essentially) coretractable if for all proper submodule  of , there exists f End( ), f( )=0 and Imf tes  (Im f + tes ). Some basic properties are studied and many relationships between these classes and other related one are presented.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3019Coretrectable ; t-essentially Coretrectable ; weakly t-essentially Coretrectable .
spellingShingle Inaam Ali Shaham
Shukur Al-Aeashi
Farhan Shyaa
T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
Baghdad Science Journal
Coretrectable ; t-essentially Coretrectable ; weakly t-essentially Coretrectable .
title T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
title_full T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
title_fullStr T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
title_full_unstemmed T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
title_short T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
title_sort t essentially coretractable and weakly t essentially coretractable modules
topic Coretrectable ; t-essentially Coretrectable ; weakly t-essentially Coretrectable .
url https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3019
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AT shukuralaeashi tessentiallycoretractableandweaklytessentiallycoretractablemodules
AT farhanshyaa tessentiallycoretractableandweaklytessentiallycoretractablemodules