Akademik Veri Yönetim Sistemi
4. INTERNATIONAL E-CONFERENCE ON MATHEMATICAL ADVANCES AND ITS APPLICATIONS, İstanbul, Türkiye, 26 - 29 Mayıs 2021, ss.199
Exchange ring have been characterized by the property that for all 𝑎𝑎 ∈ 𝑅𝑅, there exist an idempotent 𝑒𝑒 ∈ 𝑎𝑎𝑅𝑅 such that (1 − 𝑒𝑒) ∈ (1 − 𝑎𝑎)𝑅𝑅. The elment 𝑞𝑞 ∈ 𝑅𝑅 is called quasi-idempotent if 𝑞𝑞2 = 𝑑𝑑𝑞𝑞 for some central unit 𝑑𝑑 ∈ 𝑅𝑅, or equivalently 𝑞𝑞 = 𝑑𝑑𝑒𝑒 where 𝑑𝑑 is central unit and 𝑒𝑒 is an idempotent in 𝑅𝑅. In this work we introduce the notation of quasi- exchange ring via quasi-idempotent and give some relation between quasi-exchange ring and (strongly)-quasi clean ring.