Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

Recall that in a commutative ring R an ideal I is called primary if whenever a, b∈ R with
ab∈ I then either a∈ I or bn∈ I, for some positive integer n. A commutative ring R is called …

A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS Page 1 TAIWANESE
JOURNAL OF MATHEMATICS Vol. 12, No. 7, pp. 1721-1731, October 2008 This paper is …

We say that a*-ring R is a generalized quasi-Baer*-ring if for any ideal I of R, the right
annihilator of I n is generated, as a right ideal, by a projection, for some positive integer n …

Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …

EXTENSIONS OF NILPOTENT PP RINGS Communicated by Fariborz Azarpanah 1.
Introduction Throughout this paper, R denotes an associ Page 1 Bulletin of the Iranian …

Let α be an endomorphism of R which is not assumed to be surjective and R be α-
compatible. It is shown that the skew power series ring R [[x; α]] is right pq-Baer if and only if …

Let $ R $ be a ring with identity, $(S,\leq) $ an ordered monoid, $\omega: S\to End (R) $ a
monoid homomorphism, and $ A= R\left [\left [S,\omega\right]\right] $ the ring of skew …

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 …

A ring R is called right principally quasi-Baer (or simply right pq-Baer) if the right annihilator
of a principal right ideal of R is generated by an idempotent. Let R be a ring such that all left …