A TEST FOR FINITE REPRESENTATION TYPE

[摘要] Let R be a left pure-semisimple ring. It is proved that if R has self-duality or if R is a polynomial identity ring, then R is of finite representation type. If there exists an example of a left pure-semisimple ring which is not of finite representation type, we show that then there exists an example which is hereditary, but not right artinian. We reduce the question of the existence of such an example to a problem regarding simple bimodules over division rings.

[发布日期] 1994-08-12