On prime and semiprime near-rings with derivations
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297001002 |
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| _version_ | 1832566725079465984 |
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| author | Nurcan Argaç |
| author_facet | Nurcan Argaç |
| author_sort | Nurcan Argaç |
| collection | DOAJ |
| description | Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}. |
| format | Article |
| id | doaj-art-ee8ba357b23741ab84c681e3e37c6240 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ee8ba357b23741ab84c681e3e37c62402025-02-03T01:03:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120473774010.1155/S0161171297001002On prime and semiprime near-rings with derivationsNurcan Argaç0Ege University, Science Faculty, Department of Mathematics, Bornova, Izmir 35100, TurkeyLet N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.http://dx.doi.org/10.1155/S0161171297001002prime near-ringsemiprime near ringidealderivation homomorphismanti-homomorphism. |
| spellingShingle | Nurcan Argaç On prime and semiprime near-rings with derivations International Journal of Mathematics and Mathematical Sciences prime near-ring semiprime near ring ideal derivation homomorphism anti-homomorphism. |
| title | On prime and semiprime near-rings with derivations |
| title_full | On prime and semiprime near-rings with derivations |
| title_fullStr | On prime and semiprime near-rings with derivations |
| title_full_unstemmed | On prime and semiprime near-rings with derivations |
| title_short | On prime and semiprime near-rings with derivations |
| title_sort | on prime and semiprime near rings with derivations |
| topic | prime near-ring semiprime near ring ideal derivation homomorphism anti-homomorphism. |
| url | http://dx.doi.org/10.1155/S0161171297001002 |
| work_keys_str_mv | AT nurcanargac onprimeandsemiprimenearringswithderivations |