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

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

On the twenty sixth of November 1992 the organizing committee accrued 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 saved up by means of another assembly. because that first time it was once transparent to us that our target was once no longer really easy. in truth the most meant subject matters of abelian teams, modules over commutative jewelry and non commutative earrings became so really expert within the final years that it appeared fairly formidable to slot them into just one assembly. besides, when you consider that each person folks shared an identical mathematical roots, we did are looking to emphasize a standard hyperlink. So we elaborated the lengthy symposium agenda: 3 days of abelian teams and 3 days of modules over non commutative earrings with a days' bridge of commutative algebra in among. a number of the most renowned names in those fields took half to the assembly. Over a hundred and 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 be able to say that our preliminary feeling was once right.

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

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49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 27 J. Dieudonne: Remarks on quasi-Frobenius rings, I". J. Math. 2 (1958), 346-354. J. Dieudonne: Introduction to the theory of formal groups, Pure appl. Math. 20, Marcel Dekker, New York 1973. D. Dikranjan, E. Gregorio and A. Orsatti: Kasch bimodules, Rend. Sem. Mat. Univ. Padova 85 (1991), 132-136. F. Dischinger and W. Miiller: Einreihig zerlegbare artinsche Ringe sind selbstdual, Arch. Math. 43 (1984), 132-136. F. Dischinger and W.

R. Baer: Rings with dual, Amer. J. Math. 65 (1943), 569-584. R. Baer: Linear algebra and projective geometry, Pure appl. Math. 2, Academic Press, New York 1952. T. Belzner: Towards self-duality of semidistributive artinian rings, J. Algebra 135 (1990), 74-95. W. Brandal: Commutative rings whose finitely generated modules decompose, LNM 723, Springer Verlag, Berlin 1979. G. M. Brodskii: On Morita equivalence and duality, Uspekhi Mat. Nauk 37 (1982), 145-146 (English translation). G. M. Brodskii: Dualities in modules and the condition AB5*, Uspekhi Mat.

As observed in (Dugas and Oxford, 1993), classification of indecomposable acd groups up to near-isomorphism, instead of isomorphism, avoids some number theoretic problems arising from conditions required to extend isomorphism at p classification to isomorphism classification. 3. Representations of Finite Posets The category B(T)R can be interpreted as R-representations of a finite partially ordered set (poset) arising from a finite distributive lattice T of types. Given a ring R and a finite poset (8, :$), let Rep(R,8) denote the category with objects (U, Us : s E 8) for U a finitely generated free R-module, each Us a submodule of U, and Us contained in Ut whenever s :$ t in 8.

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