L-Modules
In this paper, considering L-algebras, which include a significant number of other algebraic structures, we present a definition of modules on L-algebras (L-modules). Then we provide some examples and obtain some results on L-modules. Also, we present definitions of prime ideals of L-algebras and L-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Lodz University Press
2024-03-01
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| Series: | Bulletin of the Section of Logic |
| Subjects: | |
| Online Access: | https://czasopisma.uni.lodz.pl/bulletin/article/view/16380 |
| _version_ | 1797214541836189696 |
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| author | Simin Saidi Goraghani Rajab Ali Borzooei |
| author_facet | Simin Saidi Goraghani Rajab Ali Borzooei |
| author_sort | Simin Saidi Goraghani |
| collection | DOAJ |
| description | In this paper, considering L-algebras, which include a significant number of other algebraic structures, we present a definition of modules on L-algebras (L-modules). Then we provide some examples and obtain some results on L-modules. Also, we present definitions of prime ideals of L-algebras and L-submodules (prime L-submodules) of L-modules, and investigate the relationship between them. Finally, by proving a number of theorems, we provide some conditions for having prime L-submodules. |
| first_indexed | 2024-04-24T11:15:49Z |
| format | Article |
| id | doaj.art-2fcfa117d5de4e338678c39299d5db2d |
| institution | Directory Open Access Journal |
| issn | 0138-0680 2449-836X |
| language | English |
| last_indexed | 2024-04-24T11:15:49Z |
| publishDate | 2024-03-01 |
| publisher | Lodz University Press |
| record_format | Article |
| series | Bulletin of the Section of Logic |
| spelling | doaj.art-2fcfa117d5de4e338678c39299d5db2d2024-04-11T07:51:47ZengLodz University PressBulletin of the Section of Logic0138-06802449-836X2024-03-0153112514410.18778/0138-0680.2023.2716129L-ModulesSimin Saidi Goraghani0Rajab Ali Borzooei1Farhangian University, Department of Mathematics, Tehran, IranShahid Beheshti University, Department of Mathematics, Faculty of Mathematical Sciences, Tehran, IranIn this paper, considering L-algebras, which include a significant number of other algebraic structures, we present a definition of modules on L-algebras (L-modules). Then we provide some examples and obtain some results on L-modules. Also, we present definitions of prime ideals of L-algebras and L-submodules (prime L-submodules) of L-modules, and investigate the relationship between them. Finally, by proving a number of theorems, we provide some conditions for having prime L-submodules.https://czasopisma.uni.lodz.pl/bulletin/article/view/16380\(l\)-algebra\(l\)-module\(l\)-submoduleprime \(l\)-submodule |
| spellingShingle | Simin Saidi Goraghani Rajab Ali Borzooei L-Modules Bulletin of the Section of Logic \(l\)-algebra \(l\)-module \(l\)-submodule prime \(l\)-submodule |
| title | L-Modules |
| title_full | L-Modules |
| title_fullStr | L-Modules |
| title_full_unstemmed | L-Modules |
| title_short | L-Modules |
| title_sort | l modules |
| topic | \(l\)-algebra \(l\)-module \(l\)-submodule prime \(l\)-submodule |
| url | https://czasopisma.uni.lodz.pl/bulletin/article/view/16380 |
| work_keys_str_mv | AT siminsaidigoraghani lmodules AT rajabaliborzooei lmodules |