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arXiv · 2606.09683

Multiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime Rings

Daniel Vitas
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Abstract

To any essential right ideal $I$ in a bounded HNP ring $R$ we may assign a divisor $\partial I$, the image of the finite length module $R/I$ in the Grothendieck group $K_0(\text{fl. mod-$R$})$. We show that there is a composition of divisors $\circ$ for which $\partial I J = \partial I \circ \partial J$. Additionally, we describe this composition, and show that $\partial$ is faithful.

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Daniel Vitas. 2026-06-08. Multiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime Rings. https://arxiv.org/abs/2606.09683

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