Akademik Veri Yönetim Sistemi
International Electronic Journal of Algebra, cilt.25, ss.1-11, 2019 (ESCI)
An exchange ideal I of a ring R is locally comparable if for every regular x is an element of I there exists a right or left invertible u is an element of 1 + I such that x = xux. We prove that every matrix extension of an exchange locally comparable ideal is locally comparable. We thereby prove that every square regular matrix over such ideal admits a diagonal reduction.