Completely coretractable rings
نویسنده
چکیده مقاله:
A module $M$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $M$ into $M$. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a finite product of local right and left perfect rings.
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ورودمنابع مشابه
completely coretractable rings
a module $m$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $m$ into $m$. we prove that all right (left) modules over a ring are coretractable if and only if the ring is morita equivalent to a finite product of local right and left perfect rings.
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عنوان ژورنال
دوره 39 شماره 3
صفحات 523- 528
تاریخ انتشار 2013-07-01
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