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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Main Authors: Fethi Çallıalp, Ünsal Tekir, Emel Aslankarayiğit Uğurlu, Kürşat Hakan Oral
Format: Article
Language:English
Published: Wiley 2014-01-01
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