  Let $R$ be a ring, $\CC_R$ and $\pCCR$ be the set of regular and left regular
elements of $R$ ($\CC_R\subseteq \pCCR$). Goldie's Theorem is a semisimplicity
criterion for the classical left quotient ring $Q_{l,cl}(R):=\CC_R^{-1}R$.
Semisimplicity criteria are given for the classical left regular left quotient
ring $'Q_{l,cl}(R):=\pCCR^{-1}R$. As a corollary, two new semisimplicity
criteria for $Q_{l,cl}(R)$ are obtained (in the spirit of Goldie).
