2007/09/20 by Juan Elías, Elias, Juan, Giuseppe Valla +1
Mathematics · #13H10 #13H15 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.0709.3182
openalex publication_date 2007/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.