On indices of local rings along local homomorphisms |
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| Authors: | Akira Shida |
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| Affiliation: | Department of Mathematics School of Science , Nagoya University , 464-01, Chikusa-Ku, Nagoya, Japan E-mail: a-shida@math.nagoya-u-ac-jp |
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| Abstract: | 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 ?R Sis also a stable maximal Cohen-Macaulay S-module. By using it, we also prove that index(R) ≤ index(S). |
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| Keywords: | Semiprime algebra GPI Extended centroid Linear generalized polynomial |
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