The Laskerian property, power series rings and Noetherian spectra
The Laskerian property, power series rings and Noetherian spectra
We show that if the power series ring <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R left-bracket left-bracket upper X right-bracket right-bracket"> <mml:semantics> <mml:mrow> <mml:mi>R</mml:mi> <mml:mo stretchy="false">[</mml:mo> <mml:mo stretchy="false">[</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy="false">]</mml:mo> <mml:mo stretchy="false">]</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">R[[X]]</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in one indeterminate over a commutative ring <italic>R</italic> with identity is Laskerian, …