Prof. Dr. Christian Lomp, Department of Mathematics, University of Porto in Porto, Portugal. Tarih: 19 Nisan 2023, Çarşamba Zaman: 11:00 Yer: Online/Microsoft Teams- Meeting ID: 351 128 968 15 Passcode: Gy4n4B
Özet: In 1964, Barbara Osofsky proved in her PhD thesis that a ring whose cyclic modules are injective is semisimple Artinian. William Cadwell in his PhD thesis from 1966 studied when injective hulls of cyclic modules are cyclic and termed them hypercyclic rings. He characterised left perfect left hypercyclic rings as well as commutative local hypercyclic rings. In this talk we will revise the literature on rings whose cyclic modules have cyclic injective hulls and present some more recent results, obtained jointly with Mohamed Yousif and Yiqiang Zhou.