M. R. Vedadi
Department of of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111,
[ 1 ] - Reversibility of a module with respect to the bifunctors Hom and Rej
Let $M_R$ be a non-zero module and ${mathcal F}: sigma[M_R]times sigma[M_R] rightarrow$ Mod-$Bbb{Z}$ a bifunctor. The $mathcal{F}$-reversibility of $M$ is defined by ${mathcal F}(X,Y)=0 Rightarrow {mathcal F}(Y,X)=0$ for all non-zero $X,Y$ in $sigma[M_R]$. Hom (resp. Rej)-reversibility of $M$ is characterized in different ways. Among other things, it is shown th...
[ 2 ] - On co-Noetherian dimension of rings
We define and studyco-Noetherian dimension of rings for which the injective envelopeof simple modules have finite Krull-dimension. This is a Moritainvariant dimension that measures how far the ring is from beingco-Noetherian. The co-Noetherian dimension of certain rings,including commutative rings, are determined. It is shown that the class ${mathcal W}_n$ of rings with co-Noetherian dimension...
نویسندگان همکار