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In this paper, we deal with a new approach to quasipolarity notion for rings, namely an element a of a ring R is called weakly nil-quasipolar if there exists $$p^2 = p\in comm^2(a)$$ p2=p∈comm2(a) such that $$a + p$$ a+p or $$a-p$$ a-p is nilpotent, and the ring R is called weakly nil-quasipolar if every element of R is weakly nil-quasipolar. The class of weakly nil-quasipolar rings lies properly...
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