By Toma Albu, Patrick F. Smith (auth.), Alberto Facchini, Claudia Menini (eds.)
On the twenty sixth of November 1992 the organizing committee collected 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 way of yet one more assembly. in view that that first time it was once transparent to us that our objective used to be no longer really easy. in reality the most meant themes of abelian teams, modules over commutative jewelry and non commutative earrings became so really good within the final years that it regarded particularly bold to slot them into just one assembly. besides, in view that everybody people shared an identical 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. some of the most famed names in those fields took half to the assembly. Over a hundred and forty members, either attending and contributing the 18 major Lectures and sixty four Communications (see record on web page xv) supplied a truly extensive 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
Nh and Wiegandt ). If one requires that these extended functors are exact, we obtain the somewhat stronger notion introduced by Colby and Fuller . nh and Wiegandt ). nh and Wiegandt ). nh and Wiegandt ). nh and Wiegandt ). This means that the category D 1C1 (D 2 C2 ) of all (topological) linearly compact objects in C2 (Ct}, endowed with the finest equivalent topology, and continuous morphisms is the opposite category of C1 (C 2 ), respectively, yielding a close relation between Morita duality and the works 26 PHAM NGOC ANH of Gabriel , Roos  and Oberst  on the construction of co-Grothendieck categories.
Reine Angew. Math. 280 (1976), 172-194. 3. T. ALBU and C. NAsTAsESCU, Decompositions primaires dans les categories de Grothendieck commutatives II, J. Reine Angew. Math. 282 (1976), 172-185. 4. T. ALBU and C. , New York and Basel, 1984. 5. T. ALBU and P. F. SMITH, Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki Theorem (I), University of Glasgow, Department of Mathematics, Preprint Series, Paper No. 94/17, March 1994. 6. T. ALBU and P. F. SMITH, Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki Theorem (II), University of Glasgow, Department of Mathematics, Preprint Series, Paper No.
On the other hand, there is an old but satisfactory classification of completely decomposable groups by invariants due to R. Baer in 1937. B. Jonsson in 1957 and 1959 showed that an almost completely decomposable group, the most obvious generalization of a completely decomposable group, may have pathological direct sum decompositions. These examples, together with the well known endomorphism ring realization theorem of A. L. S. Corner (Corner, 1963), nearly caused the demise of the subject of finite rank torsion-free abelian groups.
Abelian Groups and Modules: Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994 by Toma Albu, Patrick F. Smith (auth.), Alberto Facchini, Claudia Menini (eds.)