Vol. 219, No. 1, 2005

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David M. Arnold & Daniel Simson

Abstract

The category of finite-dimensional representations of a finite poset over an arbitrary field k is shown to have k-wild representation type if and only if it has k-endo-wild representation type. Included are some characterizations of representation type in terms of existence conditions on infinite-dimensional generic representations and their endomorphism rings.

Authors
David M. Arnold
Department of Mathematics
Baylor University
Waco, TX 76798-7328
United States
Daniel Simson
Faculty of Mathematics and Computer Science
Nicolaus Copernicus University
ul. Chopina 12/18
87-100 Toruń
Poland