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Grothendieck groups of algebras with nilpotent annihilators

Grothendieck groups of algebras with nilpotent annihilators

Let <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> be a commutative noetherian ring and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="i colon upper R right-arrow normal upper Lamda"> <mml:semantics> <mml:mrow> <mml:mi>i</mml:mi> <mml:mo>:</mml:mo> <mml:mi>R</mml:mi> <mml:mo stretchy="false">→<!-- → --></mml:mo> <mml:mi mathvariant="normal">Λ<!-- Λ --></mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">i:R \to \Lambda</mml:annotation> …