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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Hindawi Limited
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297001002 |
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Article |
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doaj-ee8ba357b23741ab84c681e3e37c62402020-11-24T23:04:30ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nurcan Argaç |
| 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. |
| author_facet |
Nurcan Argaç |
| author_sort |
Nurcan Argaç |
| title |
On prime and semiprime near-rings with derivations |
| title_short |
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_sort |
on prime and semiprime near-rings with derivations |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1997-01-01 |
| 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}. |
| 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 |
| _version_ |
1725629938871042048 |