Forcing linearity numbers for multiplication modules

In this article, we prove that for any multiplication module M, the forcing linearity number of M, fln(M), belongs to {0,1,2}, and if M is finitely generated whose annihilator is contained in only finitely many maximal ideals, then fln(M) = 0. Also, the forcing linearity numbers of multiplication mo...

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Main Author:	Jintana Sanwong
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33845773320&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61769
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-617692018-09-11T08:58:53Z Forcing linearity numbers for multiplication modules Jintana Sanwong Mathematics In this article, we prove that for any multiplication module M, the forcing linearity number of M, fln(M), belongs to {0,1,2}, and if M is finitely generated whose annihilator is contained in only finitely many maximal ideals, then fln(M) = 0. Also, the forcing linearity numbers of multiplication modules over some special rings are given. We also show that every multiplication module is semi-endomorphal. Copyright © Taylor & Francis Group, LLC. 2018-09-11T08:58:53Z 2018-09-11T08:58:53Z 2006-12-01 Journal 15324125 00927872 2-s2.0-33845773320 10.1080/00927870600936740 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33845773320&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61769
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Jintana Sanwong Forcing linearity numbers for multiplication modules
description	In this article, we prove that for any multiplication module M, the forcing linearity number of M, fln(M), belongs to {0,1,2}, and if M is finitely generated whose annihilator is contained in only finitely many maximal ideals, then fln(M) = 0. Also, the forcing linearity numbers of multiplication modules over some special rings are given. We also show that every multiplication module is semi-endomorphal. Copyright © Taylor & Francis Group, LLC.
format	Journal
author	Jintana Sanwong
author_facet	Jintana Sanwong
author_sort	Jintana Sanwong
title	Forcing linearity numbers for multiplication modules
title_short	Forcing linearity numbers for multiplication modules
title_full	Forcing linearity numbers for multiplication modules
title_fullStr	Forcing linearity numbers for multiplication modules
title_full_unstemmed	Forcing linearity numbers for multiplication modules
title_sort	forcing linearity numbers for multiplication modules
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33845773320&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61769
_version_	1681425682448515072

Forcing linearity numbers for multiplication modules

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