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On the Weak-Lefschetz property for Artinian Gorenstein algebras

✍ Scribed by Ragusa, Alfio; Zappalà, Giuseppe


Book ID
125379407
Publisher
Springer Milan
Year
2012
Tongue
Italian
Weight
149 KB
Volume
62
Category
Article
ISSN
0009-725X

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The Weak and Strong Lefschetz properties
✍ Tadahito Harima; Juan C. Migliore; Uwe Nagel; Junzo Watanabe 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 234 KB

Let A = i 0 A i be a standard graded Artinian K-algebra, where char K = 0. Then A has the Weak Lefschetz property if there is an element of degree 1 such that the multiplication × : A i → A i+1 has maximal rank, for every i, and A has the Strong Lefschetz property if × d : A i → A i+d has maximal ra