RT - Journal Article
T1 - On Twin--Good Rings
JF - IJMSI
YR - 2017
JO - IJMSI
VO - 12
IS - 1
UR - http://ijmsi.ir/article-1-638-en.html
SP - 119
EP - 129
K1 - Twin-good ring
K1 - Neat ring
K1 - Regular Baer ring
K1 - π-Regular.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-638-en.html
M3 DOI: 10.7508/ijmsi.2017.01.010
ER -