We say a ring R is (centrally) generalized left annihilator of principal ideal is pure (APP) if the
left annihilator ℓ R (Ra) n is (centrally) right s-unital for every element a∈ R and some …

In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …

In this chapter, the theory of ring hulls is used to determine when various ring extensions are
in the classes of interest (eg, right (FI-) extending,(quasi-) Baer, etc.) or when certain …

A ring R is called (quasi-) Baer if the right annihilator of every (ideal) nonempty subset of R is
generated, as a right ideal, by an idempotent of R. Armendariz has shown that for a reduced …

Let R [x] and R [[x]] respectively denote the ring of polynomials and the ring of power series
in one indeterminate x over a ring R. For an ideal I of R, denote by [R; I][x] the following …

Baer rings of generalized power series Page 1 BAER RINGS OF GENERALIZED POWER
SERIES* LIU ZHONGKUI Department of Mathematics, Northwest Normal University …

For a ring endomorphism α and an α-derivation δ of a ring R, we study relation between the
set of annihilators in R and the set of annihilators in nearring R [x; α, δ] and R0 [[x; α]]. Also …

Analogous to left pq-Baer property of a ring [GF Birkenmeier, JY Kim and JK Park, Principally
quasi-Baer rings, Comm. Algebra 29 (2001) 639–660], we say a right R-module M is endo …

We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the
skew power series ring Rx;σ to be right duo right Bézout. In particular, we prove that Rx;σ is …