Pure submodules of BCK-modules
In this paper by considering the notion of BCK-module, we introduce pure BCK- submodules and we prove some results by it. In particular, we show that if X is a BCK- algebra, M is a cyclic BCK-module and N a prime BCK- submodule of M, then N is a pure BCK-submodule of M.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2014-06-01
|
| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2568_18dcb37b941f767afdf944f236c335a3.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849427686267551744 |
|---|---|
| author | N. Motahari T. Roudbari Lor |
| author_facet | N. Motahari T. Roudbari Lor |
| author_sort | N. Motahari |
| collection | DOAJ |
| description | In this paper by considering the notion of BCK-module, we introduce pure BCK- submodules and we prove some results by it. In particular, we show that if X is a BCK- algebra, M is a cyclic BCK-module and N a prime BCK- submodule of M, then N is a pure BCK-submodule of M. |
| format | Article |
| id | doaj-art-0add2cdce19549b3a6705a7e091df7d3 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2014-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-0add2cdce19549b3a6705a7e091df7d32025-08-20T03:28:58ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662014-06-0131101710.22098/jhs.2014.25682568Pure submodules of BCK-modulesN. Motahari0T. Roudbari Lor1Department of Mathematics, Sciences and Research University, Kerman Branch, Kerman, IranDepartment of Mathematics, Islamic Azad University, Kerman Branch, Kerman, IranIn this paper by considering the notion of BCK-module, we introduce pure BCK- submodules and we prove some results by it. In particular, we show that if X is a BCK- algebra, M is a cyclic BCK-module and N a prime BCK- submodule of M, then N is a pure BCK-submodule of M.https://jhs.uma.ac.ir/article_2568_18dcb37b941f767afdf944f236c335a3.pdfbck- algebrabck- modulemultiplication bck- moduleprime bcksubmodulepure bck- submodule |
| spellingShingle | N. Motahari T. Roudbari Lor Pure submodules of BCK-modules Journal of Hyperstructures bck- algebra bck- module multiplication bck- module prime bcksubmodule pure bck- submodule |
| title | Pure submodules of BCK-modules |
| title_full | Pure submodules of BCK-modules |
| title_fullStr | Pure submodules of BCK-modules |
| title_full_unstemmed | Pure submodules of BCK-modules |
| title_short | Pure submodules of BCK-modules |
| title_sort | pure submodules of bck modules |
| topic | bck- algebra bck- module multiplication bck- module prime bcksubmodule pure bck- submodule |
| url | https://jhs.uma.ac.ir/article_2568_18dcb37b941f767afdf944f236c335a3.pdf |
| work_keys_str_mv | AT nmotahari puresubmodulesofbckmodules AT troudbarilor puresubmodulesofbckmodules |