Zero Insertive Group Rings |
| Amani Sbeih |
| amany_dms@yahoo.com |
| Received : 04-06-2007 , Accepted : 12-05-2008 |
| Language: Arabic |
Abstract |
The aim of this research is to find the necessary and sufficient conditions on a ring A and a group G for which the group ring A[G] to be a zero insertive ring (zi-ring), a zero commutative ring (zc-ring), and a duo- ring. In this paper, we found that the necessary conditions for A[G] to be zi-ring are that G must be Hamiltonian group and A is zi-ring whenever G is a periodic group. Also similar results for A[G] to be zc-ring and duo-ring are given. |
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| Full Text |
Tuesday, February 2, 2010
Zero Insertive Group Rings
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