Weakly linear homomorphisms in skew boolean modules
In this paper we introduce the notion of linear, weakly linear and strongly linear homomorphisms between two Skew Boolean modules and obtain various properties. We also introduce a scalar multiplication on the set of all weakly linear homomorphisms (wHom(V, W)) and prove that (wHom(V, W)) is again a...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2015-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2603_e2e99bd2b873f683321045b036952e40.pdf |
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| author | Dawit Chernet K. Venkateswarlu |
| author_facet | Dawit Chernet K. Venkateswarlu |
| author_sort | Dawit Chernet |
| collection | DOAJ |
| description | In this paper we introduce the notion of linear, weakly linear and strongly linear homomorphisms between two Skew Boolean modules and obtain various properties. We also introduce a scalar multiplication on the set of all weakly linear homomorphisms (wHom(V, W)) and prove that (wHom(V, W)) is again a Skew Boolean module . Further We show that the set of all strongly linear homomorphisms (stHom(V, W)) is a sub Skew Boolean module of wHom(V, W). |
| format | Article |
| id | doaj-art-e24e479920d54bad9d3675ce5e50b669 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-e24e479920d54bad9d3675ce5e50b6692025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662015-12-014212613510.22098/jhs.2015.26032603Weakly linear homomorphisms in skew boolean modulesDawit Chernet0K. Venkateswarlu1Department of Mathematics, Addis Ababa University, P.O.Box 1176, Addis Ababa, EthiopiaDepartment of Mathematics, Dr.Lankapalli Bullyya College of Engineering for Women, Visakhapatnam, IndiaIn this paper we introduce the notion of linear, weakly linear and strongly linear homomorphisms between two Skew Boolean modules and obtain various properties. We also introduce a scalar multiplication on the set of all weakly linear homomorphisms (wHom(V, W)) and prove that (wHom(V, W)) is again a Skew Boolean module . Further We show that the set of all strongly linear homomorphisms (stHom(V, W)) is a sub Skew Boolean module of wHom(V, W).https://jhs.uma.ac.ir/article_2603_e2e99bd2b873f683321045b036952e40.pdfboolean like ringsskew boolean modulesub skew boolean modulelinear homomorphisms |
| spellingShingle | Dawit Chernet K. Venkateswarlu Weakly linear homomorphisms in skew boolean modules Journal of Hyperstructures boolean like rings skew boolean module sub skew boolean module linear homomorphisms |
| title | Weakly linear homomorphisms in skew boolean modules |
| title_full | Weakly linear homomorphisms in skew boolean modules |
| title_fullStr | Weakly linear homomorphisms in skew boolean modules |
| title_full_unstemmed | Weakly linear homomorphisms in skew boolean modules |
| title_short | Weakly linear homomorphisms in skew boolean modules |
| title_sort | weakly linear homomorphisms in skew boolean modules |
| topic | boolean like rings skew boolean module sub skew boolean module linear homomorphisms |
| url | https://jhs.uma.ac.ir/article_2603_e2e99bd2b873f683321045b036952e40.pdf |
| work_keys_str_mv | AT dawitchernet weaklylinearhomomorphismsinskewbooleanmodules AT kvenkateswarlu weaklylinearhomomorphismsinskewbooleanmodules |