A radical for right near-rings: The right Jacobson radical of type-0
The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on these J0r(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J0r is a radical map and N(R)⊆J0r(R), where N(R) is the nil radical of a near-rin...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/68595 |
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| Summary: | The notions of a right quasiregular element and right
modular right ideal in a near-ring are initiated. Based on these J0r(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J0r is a radical map and N(R)⊆J0r(R), where N(R) is the nil radical of a near-ring R. Some characterizations of J0r(R) are given and its relation with some of the radicals is also discussed. |
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| ISSN: | 0161-1712 1687-0425 |