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.

**Read Online or Download Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr. (Contemporary Mathematics) PDF**

**Best abstract books**

**A Primer on Mapping Class Groups (Princeton Mathematical)**

The learn of the mapping type workforce Mod(S) is a classical subject that's experiencing a renaissance. It lies on the juncture of geometry, topology, and crew conception. This ebook explains as many very important theorems, examples, and strategies as attainable, speedy and without delay, whereas even as giving complete information and protecting the textual content approximately self-contained.

**Functional analysis and differential equations in abstract spaces, 1st Edition**

Practical research and Differential Equations in summary areas offers an effortless remedy of this very classical topic-but awarded in a slightly special means. the writer deals the useful research interconnected with really good sections on differential equations, hence making a self-contained textual content that incorporates many of the useful sensible research heritage, frequently with particularly entire proofs.

- Topics in Group Theory [Lecture notes]
- Twelve Sporadic Groups (Springer Monographs in Mathematics)
- The q-theory of Finite Semigroups (Springer Monographs in Mathematics)
- First Course in Abstract Algebra

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

**Sample text**

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.