On Twin--Good Rings
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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.
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Journal title
volume 12 issue None
pages 119- 129
publication date 2017-04
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