Abelian Groups and Modules: Proceedings of the Padova by Toma Albu, Patrick F. Smith (auth.), Alberto Facchini,

By Toma Albu, Patrick F. Smith (auth.), Alberto Facchini, Claudia Menini (eds.)

On the twenty sixth of November 1992 the organizing committee accumulated jointly, at Luigi Salce's invitation, for the 1st time. The culture of abelian teams and modules Italian meetings (Rome seventy seven, Udine eighty five, Bressanone ninety) had to be stored up by means of yet another assembly. considering the fact that that first time it used to be transparent to us that our objective was once now not really easy. in reality the most meant themes of abelian teams, modules over commutative earrings and non commutative earrings became so really good within the final years that it seemed fairly formidable to slot them into just one assembly. besides, considering the fact that every body folks shared an analogous mathematical roots, we did are looking to emphasize a typical hyperlink. So we elaborated the lengthy symposium agenda: 3 days of abelian teams and 3 days of modules over non commutative jewelry with a days' bridge of commutative algebra in among. the various most famed names in those fields took half to the assembly. Over one hundred forty individuals, either attending and contributing the 18 major Lectures and sixty four Communications (see record on web page xv) supplied a very vast viewers for an Algebra assembly. Now that the assembly is over, we will say that our preliminary feeling was once right.

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Additional info for Abelian Groups and Modules: Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994

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In the present survey we intend to highlight the basic ideas and observations of Morita duality (in particular, we will stress the importance of linear compactness and Grothendieck's condition AB5*) and to show how much of this theory can be deduced from more general results about Baer duality, as well as from results of a purely category-theoretical nature. Furthermore, we will touch upon aspects of duality in some important special classes of rings, however, without aiming at completeness. In this paper, all rings are associative with identity and all modules are unitary.

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