In this article, we study some idempotent-structures as c P-Baer rings and I-prime rings.
Moreover, we define c P-Baer*-rings and I-*-prime*-rings as involutive versions of c P-Baer …

If R is a (right) self-injective regular ring then every closed right ideal is a direct summand.
Hence every annihilator right ideal is generated by an idempotent element; ie R is a Baer …

ABSTRACT A ring R is called a left APP-ring if the left annihilator lR (Ra) is pure as a left
ideal in R for any element a∈ R. This concept is a common generalization of left pq-Baer …

Let R be a semisimple Artinian ring with a partial action α of ℤ on R, and let R [x; α] be the
partial skew polynomial ring. By the classification of the set E of all minimal central …

We define a generalized right alternative ring to be a nonassociative ring R satisfying the
hypotheses (1)(ab, c, d)+(a, b,[c, d])= a (b, c, d)+(a, c, d) b, and (2)(a, a, a)= 0, for all a, b, c, d …

Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. Properties of the ring [[RS,≤, ω]] of skew generalized power series with …

We investigate Ore extensions of Baer rings and pp-rings. Let α be an endomorphism and δ
an α-derivation of a ring R. Assume that R is an α-rigid ring. Then (1) R is a Baer ring if and …

Let R denote an associative ring with unity and M a right R-module with submodules X and
Y. We say that X is strongly essential in Y if Y is an essential extension of X and X is an …

In this paper we give counterexamples to the following questions:(1) Are commutative
reduced rings Baer?,(2) Are commutative von Neumann regular rings Baer?,(3) Are reduced …

This paper concerns two conditions, called right pp and generalized right pp, which are
generalizations of Baer rings and von Neumann regular rings. We study the subrings and …