News Descrizione del corso Nei corsi dei primi anni si incontrano vari tipi di strutture: gruppi, anelli, campi, spazi vettoriali, etc. Molte tecniche utilizzate per il loro studio si rassomiglano e ci sono teoremi che si ripetono (es. teoremi di…
Introduction The course is an introduction to the theory of abelian lattice-ordered groups from different perspectives. Initially, we study these structures with purely algebraic methods. We will analyse some important theorems and connections with other parts of mathematics, such as…
Contents of the page Announcements Topics of the course Course material Practical information Announcements Topics of the course Categories, universal properties, functors. Natural transformations, adjoint functors and categorical equivalences. Concrete dualities. Yoneda Lemma. Sheaves and topoi. Course material Harold Simmons. An…
At last, we have finished and submitted our paper on “General affine adjunctions, Nullstellensätze, and dualities” co-authored with Olivia Caramello and Vincenzo Marra. Abstract. We introduce and investigate a category-theoretic abstraction of the standard “system-solution” adjunction in affine algebraic geometry.…
Leo and I have just finished our paper on the connection between natural dualities and the duality between semisimple MV-algebras and compact Hausdorff spaces with definable maps. Actually, we provide a description of definable maps that is intrinsically geometric. In…