LOCAL COMPARABILITY OF EXCHANGE IDEALS
International Electronic Journal of Algebra, cilt.25, ss.1-11, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25
- Basım Tarihi: 2019
- Doi Numarası: 10.24330/ieja.504095
- Dergi Adı: International Electronic Journal of Algebra
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.1-11
- Ankara Üniversitesi Adresli: Hayır
Özet
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.