English

Structure theorems for certain Gorenstein ideals

Commutative Algebra 2007-09-21 v1

Abstract

The main achievement of this paper is to provide a structure theorem for Artinian, Gorenstein local rings with the property that the square of the maximal ideal is generated by two elements. The moduli problem for this class of local algebras is also discussed. Finally, upper and lower bounds for the minimal number of generators of perfect ideals are given.

Keywords

Cite

@article{arxiv.0709.3182,
  title  = {Structure theorems for certain Gorenstein ideals},
  author = {Juan Elias and Giuseppe Valla},
  journal= {arXiv preprint arXiv:0709.3182},
  year   = {2007}
}

Comments

28 pages

R2 v1 2026-06-21T09:19:25.415Z