TY - JOUR
T1 - On Twin--Good Rings
TT -
JF - IJMSI
JO - IJMSI
VL - 12
IS - 1
UR - http://ijmsi.ir/article-1-638-en.html
Y1 - 2017
SP - 119
EP - 129
KW - Twin-good ring
KW - Neat ring
KW - Regular Baer ring
KW - π-Regular.
N2 - 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.
M3 DOI: 10.7508/ijmsi.2017.01.010
ER -