دوره 12، شماره 1 - ( 1-1396 )                   جلد 12 شماره 1 صفحات 119-129 | برگشت به فهرست نسخه ها


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Ashrafi N, Pouyan N. On Twin--Good Rings. IJMSI. 2017; 12 (1) :119-129
URL: http://ijmsi.ir/article-1-638-fa.html
On Twin--Good Rings. مجله علوم ریاضی و انفورماتیک ایرانیان. 1396; 12 (1) :119-129

URL: http://ijmsi.ir/article-1-638-fa.html


چکیده:  

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 Z2  or Z3. 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 Z2 or Z3. Also we illustrate conditions under which extending modules, continuous modules and some classes of vector space are twin-good.

نوع مطالعه: پژوهشي | موضوع مقاله: تخصصي

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