Multiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime Rings
Abstract
To any essential right ideal I in a bounded HNP ring R we may assign a divisor ∂ I, the image of the finite length module R/I in the Grothendieck group K0(fl. mod-R). We show that there is a composition of divisors for which ∂ I J = ∂ I ∂ J. Additionally, we describe this composition, and show that ∂ is faithful.
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