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: | |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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