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- W2055695384 abstract "Abstract We study extensions of simple modules over an associative ring A and we prove that for twosided ideals m and n with artinian factors the condition Ext A 1 ( A / m , A / n ) ≠ 0 holds for the left A -modules A / m and A / n if and only if it holds for the right modules A / n and A / 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 ) , where f ∈ ( [ x , y ] ) are noetherian only in case ( f ) = ( [ x , y ] ) ." @default.
- W2055695384 created "2016-06-24" @default.
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- W2055695384 date "2015-03-01" @default.
- W2055695384 modified "2023-09-26" @default.
- W2055695384 title "Duality and noncommutative planes" @default.
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- W2055695384 doi "https://doi.org/10.1016/j.jpaa.2014.05.014" @default.
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