Abelian Groups and Noncommutative Rings: A Collection of by L. Fuchs, K. R. Goodearl, J. T. Stafford, C. Vinsonhaler

By L. Fuchs, K. R. Goodearl, J. T. Stafford, C. Vinsonhaler

This number of learn papers is devoted to the reminiscence of the prestigious algebraist Robert B. Warfield, Jr. targeting abelian crew concept and noncommutative ring conception, the booklet covers quite a lot of subject matters reflecting Warfield's pursuits and contains articles surveying his contributions to arithmetic. as the articles were refereed to excessive criteria and won't seem in different places, this quantity is integral to any researcher in noncommutative ring thought or abelian workforce thought. With papers by means of a number of the significant leaders within the box, this ebook may also be vital to a person drawn to those components, because it presents an outline of present learn instructions.

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Additional resources for Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr. (Contemporary Mathematics)

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Faltings and G. , Vieweg, 1992). Zimmer, Computing the Mordell-Weil Group of an Elliptic Curve over Q, in Elliptic Curves and Related Topics (ed. Kisilevsky and M. Ram Murthy), CRM Proceedings and Lecture Notes, vol 4, pp 61-83 (Amer. Math. , 1994). Gross, Kolyvagin’s work on modular elliptic curves, in L-functions and Arithmetic ed. Taylor (Cambridge, 1991). Zagier, Heegner points and derivatives of L-series II, Math. Ann. 278(1987), 497-562. Zagier, Heegner points and derivatives of L-series, Invent.

For suppose that u0 , v0 have been so chosen that there is only one good prime p0 which divides c(u0 , v0 ); then the product in (7) reduces to the left hand side of (6), and so (6) holds for this prime. Now choose an open set N ⊂ S0 such that (7) holds throughout N for each c(u, v); by a slightly modified version of Schinzel’s Hypothesis we can choose (u0 , v0 ) in N so that every c(u0 , v0 ) is the product of one good prime and possibly some factors in B. As c runs through all irreducible factors of a1 a2 a3 , p0 runs through all those primes for 21 which we have to verify (6).

David, (Cambridge, 1996). Heath-Brown, The Density of Rational Points on Cayley’s Cubic Surface, (unpublished). Hooley, On nonary cubic forms, J. Reine Angew. , 386(1988), 32-98 and 415(1991), 95-165 and 456(1994), 53-63. Hulsbergen, Conjectures in Arithmetic Algebraic Geometry, (Vieweg, 1992). Kleiman, Algebraic cycles and the Weil conjectures, in Dix expos´es sur la cohomologie des sch´emas, ed. Kuiper (NorthHolland, 1968). Kolyvagin, Finiteness of E(Q) and X(E/Q) for a class of Weil curves, Izv.

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