Rings characterized by almost injective modules

Thời gian: 09:00 đến 11:00 Ngày 12/11/2019

Địa điểm: C2-714, VIASM

Báo cáo viên: Phan Dan

Tóm tắt:

This is a brief survey on almost injectivity that has been studied mostly by Harada, and his collaborators.
Baba introduced this concept as a dual to the concept of almost projectivity. In this talk, we provide some results related to Rings characterized by almost injective modules by Harada, Sumioka and Tozaki, Arabi-Kakavand et al, Jain et al,... The main contents of this talk was extracted from [2].
Keywords: Almost injective modules; QF -rings; right almost QF-rings; right co-Harada rings; artinian rings; semiperfect rings; local rings; serial rings; uniform modules; indecomposable modules; extending (CS) modules.

References
[1] Baba Y. Note on almost M-injectives. Osaka J. Math. 16(1989),687-698.
[2] Jain S. K., Alahmadi A.(2014). Almost injective modules - A brief survey. J. Algebra Appl. 13(5): 1350164
(12 pages).
[3] Harada M. Almost QF-rings and almost QF-rings. Osaka J. Math. 30(1993),887-892.
[4] Sumioka T., Tozaki S.(1996). On almost QF-rings. Osaka J. Math. 33(1996), 649-661.
[5] Kakavand M. A., Asgari Sh., Khabazian H. Rings for every simple module is almost injective. Bull. Iranian
Math. Soc. 42(2016), 113-127.