Volume 12, Issue 1 (4-2017)                   IJMSI 2017, 12(1): 119-129 | Back to browse issues page

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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-en.html

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.

Type of Study: Research paper | Subject: Special

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