Artinian algebras and Jordan type

A Iarrobino, P Macias Marques, C McDaniel - 2022 - projecteuclid.org
There has been much work on strong and weak Lefschetz conditions for graded Artinian
algebras A, especially those that are Artinian Gorenstein. A more general invariant of an …

Artinian algebras and Jordan type

A Iarrobino, PM Marques, C McDaniel - arXiv preprint arXiv:1802.07383, 2018 - arxiv.org
The Jordan type of an element $\ell $ 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 …