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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.19602 |
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Table of Contents:
- Let $Γ$ be a torsionless commutative cancellative monoid, $R=\bigoplus_{α\in Γ}R_α$ be a $Γ$-graded integral domain. In this note we show that each homogeneous star operation $\star:\mathbf{HF}(R)\to\mathbf{HF}(R)$ of $R$, is the restriction of a (classical) star operation $e(\star):F(R)\to F(R)$ of $R$. We also show that the set $HStar_f(R)$ of homogeneous star operations of finite type on $R$, endowed with the Zariski topology, is a spectral space.