Primary orders of finite representation type

[摘要] Recall the well-known theorem of Drozd and Kirichenko (cf. Yu. A. Drozd and V. V. Kirichenko, Math. USSR Izvestia 7 (1973), 711-732) giving a necessary and sufficient condition for a primary order Lambda to be of finite representation type. Such ns that satisfy the ''necessary condition'' of the DK-theorem will be studied: (1) Classification of ils will be given, up to the best degree admitting general approach. (2) Auslander-Reiten quiver U(A) will be determined. In particular, it is finite, giving an alternative proof of the sufficiency part of the DK-theorem. (C) 1997 Academic Press.

[发布日期] 1997-06-15