Let R be a ring. We denote by · the so-called circle composition on R, defined by a(?)b=a+b-ab for a, b ∈R. Then (R, (?)) is a semigroup. We say that R is a generalized radical ring if (R, (?)) is a union of gr...Let R be a ring. We denote by · the so-called circle composition on R, defined by a(?)b=a+b-ab for a, b ∈R. Then (R, (?)) is a semigroup. We say that R is a generalized radical ring if (R, (?)) is a union of groups (a semigroup S is called展开更多
文摘Let R be a ring. We denote by · the so-called circle composition on R, defined by a(?)b=a+b-ab for a, b ∈R. Then (R, (?)) is a semigroup. We say that R is a generalized radical ring if (R, (?)) is a union of groups (a semigroup S is called