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POLARITIES FOR NEARRINGS |
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| Abstract: | Abstract We show that the left and right polar sets of a nearring N form complete bounded lattices PR(N) and PL(N). We consider properties of PL(N) and its elements, which are ideals, when N is 3-semiprime. If in addition N is zero-symmetric we strengthen these results and use them to describe a class in which 3-semiprime nearrings are strongly 3-semiprime. |
| Keywords: | 16Y30 |