فهرست نشریات علمی دسترسی آزاد ایران

We say a ring is right principally $\pi$-Baer (or simply right $p.\pi$-Baer) if an idempotent generates the right annihilator of every projection invariant principal left ideal. The class of right $p.\pi$-Baer rings includes the von Neumann regular rings (and hence right p.p-rings) and all $\pi$-Baer rings. This class of rings is closed under direct products. The behavior of the right $p.\pi$-Baer condition is investigated concerning various constructions and extensions. Moreover, we extend a theorem of Kist for commutative p.p-rings to right $p.\pi$-Baer rings for which every prime ideal contains a unique minimal prime ideal without using topological arguments.