Self-injective right artinian rings and Igusa Todorov functions

Details Self-injective right artinian rings and Igusa Todorov functions Self-injective right artinian rings and Igusa Todorov functions

2011-01-10

arxiv.org/abs/1101.1936v1

Mathematics

Representation Theory

5 pages

Scientific paper

We show that a right artinian ring $R$ is right self-injective if and only if $\psi(M)=0$ (or equivalently $\phi(M)=0$) for all finitely generated right $R$-modules $M$, where $\psi, \phi : \mod R \to \mathbb N$ are functions defined by Igusa and Todorov. In particular, an artin algebra $\Lambda$ is self-injective if and only if $\phi(M)=0$ for all finitely generated right $\Lambda$-modules $M$.

Affiliated with

Also associated with

No associations

Rating

Self-injective right artinian rings and Igusa Todorov functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-injective right artinian rings and Igusa Todorov functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-injective right artinian rings and Igusa Todorov functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457491