Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms
Let R be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of R that act as n-homomorphism or n-antihomomorphism on nonzero ideals of R. Consequently, from the given results one can easily deduce the results of Gusić ([7]).
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Ivan Franko National University of Lviv
2020-06-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/93 |
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| author | G.S. Sandhu |
| author_facet | G.S. Sandhu |
| author_sort | G.S. Sandhu |
| collection | DOAJ |
| description | Let R be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of R that act as n-homomorphism or n-antihomomorphism on nonzero ideals of R. Consequently, from the given results one can easily deduce the results of Gusić ([7]). |
| format | Article |
| id | doaj-art-8e4b45797ba54ceeb5c30f1f00a195b8 |
| institution | Kabale University |
| issn | 1027-4634 2411-0620 |
| language | deu |
| publishDate | 2020-06-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-8e4b45797ba54ceeb5c30f1f00a195b82025-08-20T03:33:14ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202020-06-0153212513310.30970/ms.53.2.125-13393Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphismsG.S. Sandhu0Department of Mathematics, Patel Memorial National College, Rajpura-140401, IndiaLet R be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of R that act as n-homomorphism or n-antihomomorphism on nonzero ideals of R. Consequently, from the given results one can easily deduce the results of Gusić ([7]).http://matstud.org.ua/ojs/index.php/matstud/article/view/93prime rings; multiplicative (generalized)-derivations; n-homomorphisms; n-antihomomorphisms |
| spellingShingle | G.S. Sandhu Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms Математичні Студії prime rings; multiplicative (generalized)-derivations; n-homomorphisms; n-antihomomorphisms |
| title | Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms |
| title_full | Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms |
| title_fullStr | Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms |
| title_full_unstemmed | Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms |
| title_short | Multiplicative (generalized)-derivations of prime rings that act as $n$-(anti)homomorphisms |
| title_sort | multiplicative generalized derivations of prime rings that act as n anti homomorphisms |
| topic | prime rings; multiplicative (generalized)-derivations; n-homomorphisms; n-antihomomorphisms |
| url | http://matstud.org.ua/ojs/index.php/matstud/article/view/93 |
| work_keys_str_mv | AT gssandhu multiplicativegeneralizedderivationsofprimeringsthatactasnantihomomorphisms |