By David J. Benson, Henning Krause, Andrzej Skowronski

This quantity offers a set of articles dedicated to representations of algebras and similar subject matters. Dististinguished specialists during this box offered their paintings on the foreign convention on Representations of Algebras which happened 2012 in Bielefeld. the various expository surveys are incorporated right here. Researchers of illustration conception will locate during this quantity attention-grabbing and stimulating contributions to the improvement of the topic.

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T1 ! T1 ; T0 / D 0. So, over Prüfer domains the tilting modules constructed from ring epimorphisms, from universal localizations and from Gabriel localizations are the same. But in general, not all tilting modules arise in this way: an example is provided by the Fuchs tilting module ı generating the class of all divisible modules when R is a Prüfer domain which is not a Matlis domain, that is, when the quotient field Q of R has projective dimension > 1 over R, cf. 11 (4)]. 5 Tame hereditary algebras.

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Represent. Theory 1 (1998), 169–188. [60] K. Igusa, S. Smalø, and G. Todorov, Finite projectivity and contravariant finiteness. Proc. Amer. Math. Soc. 109 (1990), 937–941. [61] O. Kerner and J. Trlifaj, Tilting classes over wild hereditary algebras. J. Algebra 290 (2005), 583–556. 36 L. Angeleri Hügel [62] O. Kerner and J. Trlifaj, Constructing tilting modules. Trans. Amer. Math. Soc. 360 (2008), 1907–1925. [63] H. Krause, The spectrum of a locally coherent category. J. Pure Appl. Algebra 114 (1997), 259–271.