On indices of local rings along local homomorphisms
| Autor: | Shida, Akira |
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| Zdroj: | Communications in Algebra; January 1995, Vol. 23 Issue: 12 p4535-4541, 7p |
| Abstrakt: | Let φ:R → Sbe a local homomorphism of Gorenstein local rings of finite flat dimension. We prove if M is a stable maximal Cohen-Macaulay R-module, then M ⊗RSis also a stable maximal Cohen-Macaulay S-module. By using it, we also prove that index(R) ≤ index(S). |
| Databáze: | Supplemental Index |
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