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:
iranian journal of mathematical sciences and informaticsجلد ۱۲، شماره ۱، صفحات ۱۱۹-۱۲۹
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