The Gazeta de Literatura de México (1788-1795): The Formation of a Literary-Scientific Periodical in Late-Viceregal Mexico

The study of the periodical press has long played an important role in understanding the transmission and reception of ideas in early modero history. This article explores different facets of the formation of one of Spanish America's most important early periodicals, the_Gazeta de Literatura de México, in order to deepen our understanding of the nature of Mexican periodical publications and in particular the work of José Antonio Alzate y Ramírez. It also seeks to place the Gazeta de Literatura firmly within the international republic of letters, linking it to contemporary periodicals in Mexico and Europe.

Non-trivial stably free modules over crossed products

We consider the class of crossed products of noetherian domains with universal enveloping algebras of Lie algebras. For algebras from this class we give a sufficient condition for the existence of projective non-free modules. This class includes Weyl algebras and universal envelopings of Lie algebras, for which this question, known as noncommutative Serre's problem, was extensively studied before. It turns out that the method of lifting of non-trivial stably free modules from simple Ore extensions can be applied to crossed products after an appropriate choice of filtration. The motivating examples of crossed products are provided by the class of RIT algebras, originating in non-equilibrium physics.