:: Volume 12, Number 1 (4-2017) ::
IJMSI 2017, 12(1): 119-129 Back to browse issues page
On Twin--Good Rings
N. Ashrafi , N. Pouyan
Abstract:  

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.

Keywords: Twin-good ring, Neat ring, Regular Baer ring, π-regular.
Full-Text [PDF 99 kb]      
Type of Study: Research | Subject: Special



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Volume 12, Number 1 (4-2017) Back to browse issues page