Classification of Finite Rings of Order p6 by Generators and Relations
For any finite abelian group (R,+), we define a binary operation or “multiplication” on R and give necessary and sufficient conditions on this multiplication for R to extend to a ring. Then we show when two rings made on the same group are isomorphic. In particular, it is shown that there are n+1 ri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/467905 |