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For a finite abelian group A, the ring End(A) is a maximal ring in the nearring M(A). In this paper we consider an analogous problem for finite semigroups, concentrating on commutative Clifford semigroups.

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Authors: P. Fuchs, C. J. Maxson, A. P. J. Van Der Walt and K. Kaarli

We answer an open problem in radical theory by showing that there exists a zero-symmetric simple near-ringN with identity such thatJ 2(N)=N.

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