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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th-cmuir.6653943832-50362014-08-30T02:56:05Z Forcing linearity numbers for multiplication modules Sanwong J. 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. 2014-08-30T02:56:05Z 2014-08-30T02:56:05Z 2006 Article 00927872 10.1080/00927870600936740 http://www.scopus.com/inward/record.url?eid=2-s2.0-33845773320&partnerID=40&md5=214df44498803e201f782dcd1e417a57 http://cmuir.cmu.ac.th/handle/6653943832/5036 English |
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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 |
Article |
| author |
Sanwong J. |
| spellingShingle |
Sanwong J. Forcing linearity numbers for multiplication modules |
| author_facet |
Sanwong J. |
| author_sort |
Sanwong J. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-33845773320&partnerID=40&md5=214df44498803e201f782dcd1e417a57 http://cmuir.cmu.ac.th/handle/6653943832/5036 |
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