A note on the homomorphism theorem for hemirings
The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In this paper, we show that for the class of N-homomorphism of hemirings the fundamental theorem is valid. In addition, the concept of N-homomorphism is used to prove that every hereditarily semisubtractiv...
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| Format: | Article |
| Language: | English |
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Wiley
1978-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171278000447 |
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| _version_ | 1832550190088716288 |
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| author | D. M. Olson |
| author_facet | D. M. Olson |
| author_sort | D. M. Olson |
| collection | DOAJ |
| description | The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In this paper, we show that for the class of N-homomorphism of hemirings the fundamental theorem is valid. In addition, the concept of N-homomorphism is used to prove that every hereditarily semisubtractive hemiring is of type (K). |
| format | Article |
| id | doaj-art-0cecb97e2ce24d6c880b2e8060ce0492 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1978-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0cecb97e2ce24d6c880b2e8060ce04922025-02-03T06:07:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-011443944510.1155/S0161171278000447A note on the homomorphism theorem for hemiringsD. M. Olson0Department of Mathematics, Cameron University, Lawton 73501, Oklahoma, USAThe fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In this paper, we show that for the class of N-homomorphism of hemirings the fundamental theorem is valid. In addition, the concept of N-homomorphism is used to prove that every hereditarily semisubtractive hemiring is of type (K).http://dx.doi.org/10.1155/S0161171278000447hemiringshomomorphism of hemiringshomomorphism theoremN-homomorphismType(K) idealshereditarily semisubtractive. |
| spellingShingle | D. M. Olson A note on the homomorphism theorem for hemirings International Journal of Mathematics and Mathematical Sciences hemirings homomorphism of hemirings homomorphism theorem N-homomorphism Type(K) ideals hereditarily semisubtractive. |
| title | A note on the homomorphism theorem for hemirings |
| title_full | A note on the homomorphism theorem for hemirings |
| title_fullStr | A note on the homomorphism theorem for hemirings |
| title_full_unstemmed | A note on the homomorphism theorem for hemirings |
| title_short | A note on the homomorphism theorem for hemirings |
| title_sort | note on the homomorphism theorem for hemirings |
| topic | hemirings homomorphism of hemirings homomorphism theorem N-homomorphism Type(K) ideals hereditarily semisubtractive. |
| url | http://dx.doi.org/10.1155/S0161171278000447 |
| work_keys_str_mv | AT dmolson anoteonthehomomorphismtheoremforhemirings AT dmolson noteonthehomomorphismtheoremforhemirings |