Injective modules and localization in noncommutative Noetherian rings
Injective modules and localization in noncommutative Noetherian rings
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="German upper S"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="fraktur">S</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathfrak {S}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a semiprime ideal in a right Noetherian ring <italic>R</italic> and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper C left-parenthesis German upper S right-parenthesis equals left-brace c element-of upper R vertical-bar …