Abelian Groups and Modules: International Conference in by James D. Reid, William J. Wickless (auth.), Paul C. Eklof,

By James D. Reid, William J. Wickless (auth.), Paul C. Eklof, Rüdiger Göbel (eds.)

This quantity comprises the refereed complaints of the foreign convention on Abelian teams and Modules held on the Dublin Institute of expertise in eire, from August 10 till August 14, 1998. The assembly introduced jointly greater than 50 researchers and graduate scholars from 14 nations world wide. In a chain of 8 invited survey talks, specialists within the box awarded numerous lively parts of study, including:

· nearly thoroughly decomposable abelian teams, Butler teams and nearly unfastened teams – the type challenge, and invariants of exact periods of torsion-free abelian groups.
· absolutely projective teams, their automorphism teams and their team jewelry – questions on certain passage among those categories.
· Radicals commuting with products.
· The Ziegler spectra of Neumann general earrings and the category (semi-) teams of Prüfer domains.
· The Krull-Schmidt estate for valuation domains.

These major talks have been observed through many different shows of present study on abelian teams and modules. equipment from version conception, class concept, limitless combinatorics, illustration conception, classical algebra and geometry have been utilized to the examine of abelian teams and modules; conversely, effects and techniques from abelian crew concept have been utilized to basic module idea and non-commutative groups.

All this can be mirrored within the 30 articles during this quantity, which introduce the reader to an lively and tasty a part of algebra that through the years has received a lot from its place on the crossroads of arithmetic. full of life discussions on the convention motivated the ultimate paintings at the provided papers, which express a few feel of the highbrow ferment they generated and stimulate the reader to contemplate and actively examine the themes and difficulties contained therein.

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Additional resources for Abelian Groups and Modules: International Conference in Dublin, August 10–14, 1998

Example text

The torsion subgroup of G is cyclic of order t 2: 1. 1f t ;E 2(mod 4), put s = t. Then Aut G ~ Aut Zs x fL

Letting R k be the ring of algebraic integers in Lk, we have that the projection ITk

1f t ;E 2(mod 4), put s = t. Then Aut G ~ Aut Zs x fL

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