10 citations · 23 across the 4 of their papers we have counts for
4 papers
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…