Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596095 | Journal of Pure and Applied Algebra | 2015 | 6 Pages |
Abstract
We study extensions of simple modules over an associative ring A and we prove that for twosided ideals mm and nn with artinian factors the condition ExtA1(A/m,A/n)≠0 holds for the left A -modules A/mA/m and A/nA/n if and only if it holds for the right modules A/nA/n and A/mA/m.The methods proving this are applied to show that noncommutative models of the plane, i.e. algebras of the form k〈x,y〉/(f)k〈x,y〉/(f), where f∈([x,y])f∈([x,y]) are noetherian only in case (f)=([x,y])(f)=([x,y]).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Søren Jøndrup,