Rings in which every cyclic module is almost injective

Time: 09:00 đến 11:00 ngày 14/11/2019, 09:00 đến 11:00 ngày 28/11/2019,

Venue/Location: C2-714, VIASM

Speaker: Truong Cong Quynh

Content:

Recently, some generalizations of injective modules have been studied, for example: quasi-injective modules, automorphism-invaraint modules, almost injective modules..... The structure of classical rings are obtained via generaliza-tions of injective modules. It is well-known, the famous theorem of Osofsky, that a ring is semisimple iff every cyclic module is injective. In this talk, we will study the structure of rings that every cyclic module is almost injective.

Keywords: almost injective module, simple-extending, SC-ring.