Abstract
Let R R be a strong semilattice sum of rings R α ( α ∈ P ) {R_\alpha }(\alpha \in P) where P P is an m.u.-semilattice. When P P is infinite, R R is not a right Goldie ring; and when P P is finite, R R is semiprime right Goldie iff each R α {R_\alpha } is semiprime right Goldie.
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