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The endomorphism near-rings of the symmetric groups of degree at least five

The endomorphism near-rings of the symmetric groups of degree at least five

Abstract The near-ring distributively generated by the semigroup of all endomorphisms of S n, the symmetric group of degree n , for n ≥ 5, is close to being the near-ring of all mappings from S n to itself respecting the identity. In this paper, the structure of these near-rings …