Discussion of diverse enterprise concepts around the present Society of the information (supposedly, of the New economy). The introduction of the information technologies (ICT) has modified the structure of the companies and the ways they make businesses. The article analyzes two subjects: a) If these modifications have generated a "new economy" or only a temp growth of the productivity that, nevertheless, stays in the tracks of the classic economy. b) If the definitions of company-network, company-in-the-network, and alike, are applied correctly, or it is necessary to consider a new structure of companies like a new ontological category. Two examples of this new definition with Amazon and VISA are given. The concepts discussed have an immediate repercussion in the corresponding information systems of the new enterprenurial structures.