3 papers
math.AC2018
Artinian Gorenstein algebras that are free extensions over , and Macaulay duality
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel
T. Harima and J. Watanabe studied the Lefschetz properties of free extension Artinian algebras over a base with fibre . The free extensions are deformations of the usual…
math.AC2018
Free Extensions and Jordan type
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel
Free extensions of commutative Artinian algebras were introduced by T. Harima and J. Watanabe. The Jordan type of a multiplication map by a nilpotent element of an Artinian alg…
math.AC2016
Some Remarks on Watanabe's Bold Conjecture
Chris McDaniel
At the 2015 Workshop on Lefschetz Properties of Artinian Algebras, Junzo Watanabe conjectured that every graded Artinian complete intersection algebra with the standard grading can…