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Krull dimension and reflexivity in some Noetherian rings

Krull dimension and reflexivity in some Noetherian rings

In this paper we study Noetherian prime rings <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding="application/x-tex">R</mml:annotation> </mml:semantics> </mml:math> </inline-formula> which satisfy the formula <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartAbsoluteValue upper R EndAbsoluteValue equals sup left-brace StartAbsoluteValue upper I Superscript asterisk asterisk Baseline slash upper I EndAbsoluteValue colon upper I"> …