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Right chain rings and the generalized semigroup of divisibility
Let R be a ring with unit element and without zerodivisors and let H{R) = {#|0 Ψ x e R} where x is the mapping from the set of all nonzero principal right ideals of R into itself defined by x(aR) = xaR.ίϊ(R) is a partially ordered semigroup that can …