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 -