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A conference on Abelian Group Theory was held at the Manoa Campus of the University of Hawaii from December 28, 1982 to January 4, 1983. It was probably the best attended conference on Abelian Group Theory to date with 55 participants from allover the world and the busiest one with 49 talks. A special feature were general interest lectures by Hyman Bass, Columbia University, on 'Non-linear Algebra', and by Claus Michael Ringel, Uni versiUit Bielefeld, on 'Representations of Algebras'. The Conference offered surveys by Laszlo Fuchs, Tulane University, on 'Torsion Modules over Valuation Rings', Fred Richman, New Mexico State University, on 'Mixed Groups', Paul Eklof, University of California at Irvine, on 'Set Theory and Structure Theorems', Rudiger Gobel, Un:i:versitat Essen on 'Endomorphism Rings', and Lee Lady, University of Hawaii, on 'Torsion Free Groups of Finite Rank'. The research reports attested to lively activity in the traditional and in new areas of inquiry within and around Abelian Group Theory. The best represented groups were those of finite rank without torsion, a field employing increasingly sophisticated tools from ring theory and algebraic number theory. The use of set theoretic methods continues to flourish after the pioneering work of Saharon Shelah in the 1970s, and is delivering impressive results. This volume contains the papers of the participants df the C- ferencean6 a number of additional articles of others who could not or did not corne.

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This volume presents the invited lectures of a conference devoted to Infinite Length Modules, held at Bielefeld, September 7-11, 1998. Some additional surveys have been included in order to establish a unified picture. The scientific organization of the conference was in the hands of K. Brown (Glasgow), P. M. Cohn (London), I. Reiten (Trondheim) and C. M. Ringel (Bielefeld). The conference was concerned with the role played by modules of infinite length when dealing with problems in the representation theory of algebras. The investi gation of such modules always relies on information concerning modules of finite length, for example simple modules and their possible extensions. But the converse is also true: recent developments in representation theory indicate that a full un derstanding of the category of finite dimensional modules, even over a finite dimen sional algebra, requires consideration of infinite dimensional, thus infinite length, modules. For instance, the important notion of tameness uses one-parameter fami lies of modules, or, alternatively, generic modules and they are of infinite length. If one tries to exhibit a presentation of a module category, it turns out to be essential to take into account the indecomposable modules which are algebraically compact, or, equivalently, pure injective. Specific methods have been developed over the last few years dealing with such special situations as group algebras of finite groups or noetherian rings, and there are surprising relations to topology and geometry. The conference outlined the present state of the art.

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This book examines morphogenetic processes based on a combination of digital and analogue modeling and manufacturing techniques. Traditional physical modelling techniques were combined with digital 3d modelling and manufacturing technologies, informing the emerging constructs with additional components. These modules can in many cases be translated into architectural designs. They operate as precursors of architecture to come. These visual studies have been produced in the academic context of the Technical University of Darmstadt (Germany). The produced output proves not only to be an exciting new way in educational motivation and systematic architectural approach, but also serves as an important step of intruducing (future) architects into the understanding and handling of complex geometries and novel CAD / CAM technologies. Asterios Agkathidis studied architecture in the AU Thessaloniki and the RWTH Aachen, completing his postgraduate studies in Advanced Architectural Design at the Staedelschule Architecture Class (Frankfurt). He became a partner at b&k+ (Cologne), then worked for VMX architects (Amsterdam). He later founded the architecture and research laboratory a3lab Frankfurt-Thessaloniki and has been planning and realizing projects around the world since then. His work has been published, awarded and exhibited widely. His teaching and lecturing experiences include AdbK Nuremberg, TU Darmstadt, AU Thessaloniki, University of Thessaly, Bielefeld University of Applied Sciences, International Islamic University Malaysia, Columbia University and the Staedelschule Architecture Class. He was visiting assistant professor at the Lebanese American University and senior lecturer at Raffles Design Institute Shanghai. Today he holds a Lectureship for Digital Design at the University of Liverpool.

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