en تخصصي Special پژوهشي Research paper <p>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 $Z_<span style="font-size: 10.8333px;">2</span>$ or $Z_<span style="font-size: 10.8333px;">3</span>$. 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 &nbsp;$Z_<span style="font-size: 10.8333px;">2</span>$ or $Z_<span style="font-size: 10.8333px;">3</span>$. Also we illustrate conditions under which extending modules, continuous modules and some classes of vector space are twin-good.</p> Twin-good ring, Neat ring, Regular Baer ring, π-Regular. 119 129 http://ijmsi.ir/browse.php?a_code=A-10-239-2&slc_lang=en&sid=1 N. Ashrafi nashrafi@semnan.ac.ir 10031947532846006283 10031947532846006283 Yes Semnan University N. Pouyan neda.pouyan@gmail.com 10031947532846006284 10031947532846006284 No Semnan University