Duality and noncommutative planes
Research output: Contribution to journal › Journal article › Research › peer-review
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])Original language | English |
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Journal | Journal of Pure and Applied Algebra |
Volume | 219 |
Issue number | 3 |
Pages (from-to) | 563-568 |
ISSN | 0022-4049 |
DOIs | |
Publication status | Published - 2015 |
ID: 95291467