We say a ring R is π-Baer if the right annihilator of every projection invariant left ideal of R is
generated by an idempotent element of R. In this paper, we study connections between the …

A ring R with identity is called a left PP-ring if every principal left ideal of R is i?-projective. In
[1] Harada gave. a characterization of semiprimary left PP-rings in terms of his generalized …

Let R be a ring with identity. In this paper we introduce a strongly Rickart ring as a stronger
concept of a Rickart ring. A ring R is said to be strongly Rickart ring if the right annihilators of …

In this paper, we introduce the concept of Σ-semicommutative ring for Σ a finite family of
endomorphisms of a ring R. We relate this class of rings with other classes of rings such as …

ON THE PROPERTY (PU) FOR «-REGULAR RANK RINGS Page 1 Canad. Math. Bull. Vol.
19 (1), 1976 ON THE PROPERTY (PU) FOR «-REGULAR RANK RINGS BY JOHN L. BURKE …

In this note we study the ascending chain conditions on principal left (resp. right) ideals of
the skew polynomial ring Rx;α,δ. We give a characterization of skew polynomial rings Rx;α,δ …

A ring R is called a left Ikeda-Nakayama ring (left IN-ring) if the right annihilator of the
intersection of any two left ideals is the sum of the two right annihilators. Also a ring R is …

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 ring,(S,≤) a strictly ordered monoid, and ω: S→ End (R) a monoid
homomorphism. In [18], Mazurek, and Ziembowski investigated when the skew generalized …