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
✦ LIBER ✦
Prime filtrations and Stanley decompositions of squarefree modules and Alexander duality
✍ Scribed by Ali Soleyman Jahan
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 233 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0025-2611
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