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math.AC2006
The central simple modules of Artinian Gorenstein algebras
T. Harima, J. Watanabe
Let A be a standard graded Artinian algebra over a field of characteristic zero and let z be a linear form in A. We define the central simple modules for each such pair (A, z). Ass…
math.AC2002★ 5 cited
The Weak and Strong Lefschetz Properties for Artinian K-Algebras
T. Harima, J. Migliore, U. Nagel +1
Let A = bigoplus_{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 ell of degree 1 such that the…