MIMS Technical Report No) QUASI-SOCLE IDEALS AND GOTO NUMBERS OF PARAMETERS SHIRO GOTO, SATORU KIMURA, TRAN THI PHUONG, AND HOANG LE TRUONG Abstract. Goto numbers g(Q) = max{q ∈ Z | Q : mq is integra

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• Commutative algebra
• Gorenstein ring
• CohenMacaulay ring
• Krull dimension
• Integral element
• Regular sequence
• Ring
• Local ring
• Complete intersection ring
• Regular local ring
• Gorenstein scheme