Abstract
We show that R is a weak symmetric ring if and only if and eRe is a symmetric ring. Further, we obtain R is weak symmetric if and only if for any , implies , where is any transformation of . As an application, we show that a ring R is a left min-abel ring if and only if R is a weak symmetric ring for any . Finally, we show that the definition of symmetric ring is not left-right symmetric. Also, with the help of weak symmetric rings, we give some characterizations of EP elements.
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