On Rings Whose Finite Length Indecomposable Modules Are Completely Determined by Their Composition Factors III

Victor Blasco Jimenez, Dokuz Eylül University.

Date: 15th of March, 2023, Wednesday, Time: 10.30 – 12.00.

Place:Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings).

Abstract: Today we will continue the discussion we started the other day. In particular, we will prove that a commutative Artinian Ring R is of finite representation type if and only if it satisfies \mathfrak{X}, that is, if and only if finitely generated indecomposable R-modules are completely determined by their composition factors.