Second and Secondary Lattice Modules
Let M be a lattice module over the multiplicative lattice L. A nonzero L-lattice module M is called second if for each a∈L, a1M=1M or a1M=0M. A nonzero L-lattice module M is called secondary if for each a∈L, a1M=1M or an1M=0M for some n>0. Our objective is to investigative properties of second an...
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2014/291924 |
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author | Fethi Çallıalp Ünsal Tekir Emel Aslankarayiğit Uğurlu Kürşat Hakan Oral |
author_facet | Fethi Çallıalp Ünsal Tekir Emel Aslankarayiğit Uğurlu Kürşat Hakan Oral |
author_sort | Fethi Çallıalp |
collection | DOAJ |
description | Let M be a lattice module over the multiplicative lattice L. A nonzero L-lattice module M is called second if for each a∈L, a1M=1M or a1M=0M. A nonzero L-lattice module M is called secondary if for each a∈L, a1M=1M or an1M=0M for some n>0. Our objective is to investigative properties of second and secondary lattice modules. |
format | Article |
id | doaj-art-ed59fc0fc1264c6b9d9790c441b1853e |
institution | Kabale University |
issn | 2356-6140 1537-744X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | The Scientific World Journal |
spelling | doaj-art-ed59fc0fc1264c6b9d9790c441b1853e2025-02-03T01:12:56ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/291924291924Second and Secondary Lattice ModulesFethi Çallıalp0Ünsal Tekir1Emel Aslankarayiğit Uğurlu2Kürşat Hakan Oral3Department of Mathematics, Beykent University, Ayazaga-Maslak, 34396 Istanbul, TurkeyDepartment of Mathematics, Marmara University, Ziverbey, Göztepe, 34722 Istanbul, TurkeyDepartment of Mathematics, Marmara University, Ziverbey, Göztepe, 34722 Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, 34210 Istanbul, TurkeyLet M be a lattice module over the multiplicative lattice L. A nonzero L-lattice module M is called second if for each a∈L, a1M=1M or a1M=0M. A nonzero L-lattice module M is called secondary if for each a∈L, a1M=1M or an1M=0M for some n>0. Our objective is to investigative properties of second and secondary lattice modules.http://dx.doi.org/10.1155/2014/291924 |
spellingShingle | Fethi Çallıalp Ünsal Tekir Emel Aslankarayiğit Uğurlu Kürşat Hakan Oral Second and Secondary Lattice Modules The Scientific World Journal |
title | Second and Secondary Lattice Modules |
title_full | Second and Secondary Lattice Modules |
title_fullStr | Second and Secondary Lattice Modules |
title_full_unstemmed | Second and Secondary Lattice Modules |
title_short | Second and Secondary Lattice Modules |
title_sort | second and secondary lattice modules |
url | http://dx.doi.org/10.1155/2014/291924 |
work_keys_str_mv | AT fethicallıalp secondandsecondarylatticemodules AT unsaltekir secondandsecondarylatticemodules AT emelaslankarayigitugurlu secondandsecondarylatticemodules AT kursathakanoral secondandsecondarylatticemodules |