Idempotent factorization on some matrices over quadratic integer rings
Idempotent factorization on some matrices over quadratic integer rings
AbstractIn 2020, Cossu and Zanardo raised a problem on the idempotent factorization of singular matrices in the form (pzz¯‖z‖/p), where p is a prime integer which is irreducible but not prime in the ring of integers OK, with K a real quadratic number field, and z∈OK is such that 〈p,z〉 …