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, a1(M) = 1(M) or a1(M) = 0(M). A nonzero L-lattice module M is called secondary if for each a ∈ L, a1(M) = 1(M) or a (n)1(M) = 0(M) for some n > 0. Our objective is to inve...

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Detalles Bibliográficos
Autores principales: Çallıalp, Fethi, Tekir, Ünsal, Uğurlu, Emel Aslankarayiğit, Oral, Kürşat Hakan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4213722/
https://www.ncbi.nlm.nih.gov/pubmed/25383366
http://dx.doi.org/10.1155/2014/291924
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author Çallıalp, Fethi
Tekir, Ünsal
Uğurlu, Emel Aslankarayiğit
Oral, Kürşat Hakan
author_facet Çallıalp, Fethi
Tekir, Ünsal
Uğurlu, Emel Aslankarayiğit
Oral, Kürşat Hakan
author_sort Çallıalp, Fethi
collection PubMed
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, a1(M) = 1(M) or a1(M) = 0(M). A nonzero L-lattice module M is called secondary if for each a ∈ L, a1(M) = 1(M) or a (n)1(M) = 0(M) for some n > 0. Our objective is to investigative properties of second and secondary lattice modules.
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spelling pubmed-42137222014-11-09 Second and Secondary Lattice Modules Çallıalp, Fethi Tekir, Ünsal Uğurlu, Emel Aslankarayiğit Oral, Kürşat Hakan ScientificWorldJournal Research Article 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, a1(M) = 1(M) or a1(M) = 0(M). A nonzero L-lattice module M is called secondary if for each a ∈ L, a1(M) = 1(M) or a (n)1(M) = 0(M) for some n > 0. Our objective is to investigative properties of second and secondary lattice modules. Hindawi Publishing Corporation 2014 2014-10-14 /pmc/articles/PMC4213722/ /pubmed/25383366 http://dx.doi.org/10.1155/2014/291924 Text en Copyright © 2014 Fethi Çallıalp et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Çallıalp, Fethi
Tekir, Ünsal
Uğurlu, Emel Aslankarayiğit
Oral, Kürşat Hakan
Second and Secondary Lattice Modules
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4213722/
https://www.ncbi.nlm.nih.gov/pubmed/25383366
http://dx.doi.org/10.1155/2014/291924
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