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On a class of near-rings sum of near-fields. (English) Zbl 0597.16030

Author’s abstract: ”We study the near-rings whose proper subnear-rings are near-fields and we call them s-near-fields. In this work we show that these structures are at most E2-generated and we characterize the general case, the zero-symmetric E2-generated and constant E2-generated cases. Near-rings are in fact a sum of near-fields. We shall deal with the remaining cases in other studies.”
Reviewer: J.Libicher

MSC:

16Y30 Near-rings
12K05 Near-fields
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