Generalization of Slightly Compressible Modules

In this paper, we give a generalization of slightly compressible modules. We introduce the notion of M-slightly compressible modules, i.e. a right R module N is called M-slightly compressible if for every nonzero submodule A of N there exists a nonzero R-homomorphism s from M to N such that s(M)↪A....

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Main Authors:	Samruam Baupradist, Phatsarapa Janmuang, Suphawat Asawasamrit
Format:	Article
Language:	English
Published:	ITB Journal Publisher 2018-08-01
Series:	Journal of Mathematical and Fundamental Sciences
Subjects:	compressible modules M-sightly compressible modules slightly compressible modules
Online Access:	http://journals.itb.ac.id/index.php/jmfs/article/view/3646

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spelling	doaj-e64ddf93dbd74ab08f6def51304e9aa62020-11-25T01:14:12ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102018-08-0150214214710.5614/j.math.fund.sci.2018.50.2.3Generalization of Slightly Compressible ModulesSamruam Baupradist0Phatsarapa Janmuang1Suphawat Asawasamrit2Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand In this paper, we give a generalization of slightly compressible modules. We introduce the notion of M-slightly compressible modules, i.e. a right R module N is called M-slightly compressible if for every nonzero submodule A of N there exists a nonzero R-homomorphism s from M to N such that s(M)↪A. Many examples of M-slightly compressible modules are provided. Some results on M-slightly compressible modules are obtained, which are interesting and important.http://journals.itb.ac.id/index.php/jmfs/article/view/3646compressible modulesM-sightly compressible modulesslightly compressible modules
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Samruam Baupradist Phatsarapa Janmuang Suphawat Asawasamrit
spellingShingle	Samruam Baupradist Phatsarapa Janmuang Suphawat Asawasamrit Generalization of Slightly Compressible Modules Journal of Mathematical and Fundamental Sciences compressible modules M-sightly compressible modules slightly compressible modules
author_facet	Samruam Baupradist Phatsarapa Janmuang Suphawat Asawasamrit
author_sort	Samruam Baupradist
title	Generalization of Slightly Compressible Modules
title_short	Generalization of Slightly Compressible Modules
title_full	Generalization of Slightly Compressible Modules
title_fullStr	Generalization of Slightly Compressible Modules
title_full_unstemmed	Generalization of Slightly Compressible Modules
title_sort	generalization of slightly compressible modules
publisher	ITB Journal Publisher
series	Journal of Mathematical and Fundamental Sciences
issn	2337-5760 2338-5510
publishDate	2018-08-01
description	In this paper, we give a generalization of slightly compressible modules. We introduce the notion of M-slightly compressible modules, i.e. a right R module N is called M-slightly compressible if for every nonzero submodule A of N there exists a nonzero R-homomorphism s from M to N such that s(M)↪A. Many examples of M-slightly compressible modules are provided. Some results on M-slightly compressible modules are obtained, which are interesting and important.
topic	compressible modules M-sightly compressible modules slightly compressible modules
url	http://journals.itb.ac.id/index.php/jmfs/article/view/3646
work_keys_str_mv	AT samruambaupradist generalizationofslightlycompressiblemodules AT phatsarapajanmuang generalizationofslightlycompressiblemodules AT suphawatasawasamrit generalizationofslightlycompressiblemodules
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Generalization of Slightly Compressible Modules

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