In contrast to hepatocellular carcinoma (HCC), very few molecular pathological studies have been carried out on hepatocellular adenoma (HCA). Particularly from the surgical point of view, based on views passed on verbally and in the literature of the 1970s and 1980s, a possible degeneration of the HCA provides grounds for operating. Published cases of transitions from HCA into HCC were evaluated on the basis of today's morphological standards. A comparison was made between the patterns of new molecular pathological studies of HCA, above all the work of our own groups, and those of HCC. The results speak against the suggestion that a typical solitary HCA in pre-menopausal women is a precursor lesion of HCC. After a critical review of the literature, only one casuistic case of a transition of HCA to HCC under a hormone therapy, which is no longer practiced today, remained. A limitation of particular HCA in genetic and metabolic diseases, children, adult males, adenomatosis, and HCA-like tumors with known risk factors of HCC would seem pragmatically meaningful. With classic HCA, however, the oncological indication for surgery does not apply. A prerequisite is a histological clarification, if necessary with the support of molecular pathological methods.