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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| Format: | Article |
| Language: | English |
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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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| author | Ravi Srinivasa Rao K. Siva Prasad |
| author_facet | Ravi Srinivasa Rao K. Siva Prasad |
| author_sort | Ravi Srinivasa Rao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c6474c97486f4465886f35c9c22e01d4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c6474c97486f4465886f35c9c22e01d42025-02-03T05:58:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/6859568595A radical for right near-rings: The right Jacobson radical of type-0Ravi Srinivasa Rao0K. Siva Prasad1Department of Mathematics, PG Centre, PB Siddhartha College of Arts and Sciences, Vijayawada, Andhra Pradesh 520010, IndiaPG Department of Mathematics, JKC College, Guntur, Andhra Pradesh 522006, IndiaThe 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.http://dx.doi.org/10.1155/IJMMS/2006/68595 |
| spellingShingle | Ravi Srinivasa Rao K. Siva Prasad A radical for right near-rings: The right Jacobson radical of type-0 International Journal of Mathematics and Mathematical Sciences |
| title | A radical for right near-rings: The right Jacobson radical of
type-0 |
| title_full | A radical for right near-rings: The right Jacobson radical of
type-0 |
| title_fullStr | A radical for right near-rings: The right Jacobson radical of
type-0 |
| title_full_unstemmed | A radical for right near-rings: The right Jacobson radical of
type-0 |
| title_short | A radical for right near-rings: The right Jacobson radical of
type-0 |
| title_sort | radical for right near rings the right jacobson radical of type 0 |
| url | http://dx.doi.org/10.1155/IJMMS/2006/68595 |
| work_keys_str_mv | AT ravisrinivasarao aradicalforrightnearringstherightjacobsonradicaloftype0 AT ksivaprasad aradicalforrightnearringstherightjacobsonradicaloftype0 AT ravisrinivasarao radicalforrightnearringstherightjacobsonradicaloftype0 AT ksivaprasad radicalforrightnearringstherightjacobsonradicaloftype0 |