CAJ | 학술논문

称一个环R中的元素a是拟polar元,若存在p2=P∈R满足p∈comm_R~2（a）,a＋P∈U（R）并且ap∈R~（qnil）;且称环R是拟polar的如果R中每一个元素都是拟polar元.本文证明了,任一环R中强π-正则元是拟polar的,而拟polar元是强clean的.拟polar环的一些扩张性质也作了探讨.
칭일개배R중적원소a시의polar원,약존재p2=P∈R만족p∈comm_R~2（a）,a＋P∈U（R）병차ap∈R~（qnil）;차칭배R시의polar적여과R중매일개원소도시의polar원.본문증명료,임일배R중강π-정칙원시의polar적,이의polar원시강clean적.의polar배적일사확장성질야작료탐토.
An element a in a ring R is called quasipolar if there exists p2 = p ∈ R such that p ∈comm2R（α）, a＋p E U（R） and ap E Rqnil; and a ring R is said to be quasipolax in case every element of R is quasipolar. In this note, we prove that any strongly π-regulax element in a ring R is quasipotar, and any quasipolar element in R is strongly clean. Several extension properties of quasipolar rings are also investigated.