15 citations · 61 across the 13 of their papers we have counts for
8 papers · 1 filter
On atoms and their density in the monoid of monomial ideals
Nikola Bogdanovic, Laura Cossu
We study the structure and distribution of atoms in the monoid of nonzero monomial ideals of the polynomial ring , with . We…
On the arithmetic of polynomial ideals
Nikola Bogdanovic, Laura Cossu, Azeem Khadam
This paper investigates atomic factorizations in the monoid of nonzero ideals of a multivariate polynomial ring , under ideal multiplication. Building on recent…
Realization of spaces of commutative rings
Laura Cossu, Bruce Olberding
Motivated by recent work on the use of topological methods to study collections of rings between an integral domain and its quotient field, we examine spaces of subrings of a commu…
Idempotent factorization of matrices over a Prüfer domain of rational functions
Laura Cossu
We consider the smallest subring of containing every element of the form , with . is a Prüfer domain called the minimal Dress…
Idempotent factorizations of singular matrices over quadratic integer rings
Laura Cossu, Paolo Zanardo
Let be the ring of integers of a quadratic number field . We study the factorizations of matrices over into idempotent factors. When $d <…
PRINC domains and comaximal factorization domains
Laura Cossu, Paolo Zanardo
The notion of PRINC domain was introduced by Salce and Zanardo (2014), motivated by the investigation of the products of idempotent matrices with entries in a commutative domain. A…
Minimal Prüfer-Dress rings and products of idempotent matrices
Laura Cossu, Paolo Zanardo
We investigate a special class of Prüfer domains, firstly introduced by Dress in 1965. The {\it minimal Dress ring} , of a field , is the smallest subring of that conta…
Factorizations into idempotent factors of matrices over Prüfer domains
Laura Cossu, Paolo Zanardo
A classical problem, that goes back to the 1960's, is to characterize the integral domains R satisfying the property (IDn): "every singular nxn matrix over R is a product of idempo…