%0 Journal Article %T A class of J-quasipolar rings %J Journal of Algebra and Related Topics %I University of Guilan %Z 2345-3931 %A Halicioglu, S. %A Calci, M. B. %A Harmanci, A. %D 2015 %\ 12/01/2015 %V 3 %N 2 %P 1-15 %! A class of J-quasipolar rings %K Quasipolar ring %K $J$-quasipolar ring %K weakly $J$-quasipolar ring %K uniquely clean ring %R %X In this paper, we introduce a class of $J$-quasipolar rings. Let $R$ be a ring with identity. An element $a$ of a ring $R$ is called {\it weakly $J$-quasipolar} if there exists $p^2 = p\in comm^2(a)$ such that $a + p$ or $a-p$ are contained in $J(R)$ and the ring $R$ is called {\it weakly $J$-quasipolar} if every element of $R$ is weakly $J$-quasipolar. We give many characterizations and investigate general properties of weakly $J$-quasipolar rings. If $R$ is a weakly $J$-quasipolar ring, then we show that (1) $R/J(R)$ is weakly $J$-quasipolar, (2) $R/J(R)$ is commutative, (3) $R/J(R)$ is reduced. We use weakly $J$-quasipolar rings to obtain more results for $J$-quasipolar rings. We prove that the class of weakly $J$-quasipolar rings lies between the class of $J$-quasipolar rings and the class of quasipolar rings. Among others it is shown that a ring $R$ is abelian weakly $J$-quasipolar if and only if $R$ is uniquely clean. %U https://jart.guilan.ac.ir/article_1537_d40640a41f82ff681c817e78291f88e6.pdf