AU - Ashrafi, N.
AU - Pouyan, N.
TI - On Twin--Good Rings
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 12
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-638-en.html
4100 - http://ijmsi.ir/article-1-638-en.pdf
SO - IJMSI 1
ABĀ - In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to $Z_2$ or $Z_3$. The main result of [24] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every element of a regular Baer ring is twin-good if and only if R has no factor ring isomorphic to $Z_2$ or $Z_3$. Also we illustrate conditions under which extending modules, continuous modules and some classes of vector space are twin-good.
CP - IRAN
IN - Department of mathematics, Semnan University, Semnan, Iran
LG - eng
PB - IJMSI
PG - 119
PT - Research paper
YR - 2017