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Modules Graded byG-Sets: Duality and Finiteness Conditions

✍ Scribed by D. Bulacu; S. Dăscălescu; L. Grunenfelder


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
177 KB
Volume
195
Category
Article
ISSN
0021-8693

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Alexander Duality for Stanley–Reisner Ri
✍ Kohji Yanagawa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 146 KB

Let S = k x 1 x n be a polynomial ring, and let ω S be its canonical module. First, we will define squarefreeness for n -graded S-modules. A Stanley-Reisner ring k = S/I , its syzygy module Syz i k , and Ext i S k ω S are always squarefree. This notion will simplify some standard arguments in the S