6 citations · 12 across the 15 of their papers we have counts for
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Free extensions and Lefschetz properties, with an application to rings of relative coinvariants
Chris McDaniel, Shujian Chen, Anthony Iarrobino +1
Graded Artinian algebras can be regarded as algebraic analogues of cohomology rings (in even degrees) of compact topological manifolds. In this analogy, a free extension of a base…
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…
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…
Artinian algebras and Jordan type
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel
The Jordan type of an element of the maximal ideal of an Artinian k-algebra A acting on an A-module M of k-dimension n, is the partition of n given by the Jordan block decom…