Note on Isomorphism Theorems of Hyperrings
There are different notions of hyperrings (𝑅,+,⋅). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/376985 |
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| _version_ | 1832564385686487040 |
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| author | Muthusamy Velrajan Arjunan Asokkumar |
| author_facet | Muthusamy Velrajan Arjunan Asokkumar |
| author_sort | Muthusamy Velrajan |
| collection | DOAJ |
| description | There are different notions of hyperrings (𝑅,+,⋅). In this paper, we
extend the isomorphism theorems to hyperrings, where the additions and the multiplications
are hyperoperations. |
| format | Article |
| id | doaj-art-166cde3e5f334d6fac7c6ceffc423acd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-166cde3e5f334d6fac7c6ceffc423acd2025-02-03T01:11:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/376985376985Note on Isomorphism Theorems of HyperringsMuthusamy Velrajan0Arjunan Asokkumar1Department of Mathematics, Aditanar College of Arts and Science, Tiruchendur 628216, Tamilnadu, IndiaDepartment of Mathematics, Aditanar College of Arts and Science, Tiruchendur 628216, Tamilnadu, IndiaThere are different notions of hyperrings (𝑅,+,⋅). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.http://dx.doi.org/10.1155/2010/376985 |
| spellingShingle | Muthusamy Velrajan Arjunan Asokkumar Note on Isomorphism Theorems of Hyperrings International Journal of Mathematics and Mathematical Sciences |
| title | Note on Isomorphism Theorems of Hyperrings |
| title_full | Note on Isomorphism Theorems of Hyperrings |
| title_fullStr | Note on Isomorphism Theorems of Hyperrings |
| title_full_unstemmed | Note on Isomorphism Theorems of Hyperrings |
| title_short | Note on Isomorphism Theorems of Hyperrings |
| title_sort | note on isomorphism theorems of hyperrings |
| url | http://dx.doi.org/10.1155/2010/376985 |
| work_keys_str_mv | AT muthusamyvelrajan noteonisomorphismtheoremsofhyperrings AT arjunanasokkumar noteonisomorphismtheoremsofhyperrings |