This note discusses the structure of a ring R with the ascending chain condition (= acc) on
annihilator left ideals having the property that each module homomorphism from a principal …

A ring R is said to be left pure-hereditary (resp. RD-hereditary) if every left ideal of R is pure-
projective (resp. RD-projective). In this paper, some properties and examples of these rings …

We show that ifRis a semiperfect ring with essential left socle andrl (K)= Kfor every small
right idealKofR, thenRis right continuous. Accordingly some well-known classes of rings …

Note that, if X is a subset of a ring R, l (X)(resp. r (X)) is just the left (resp. right) annihilator of
X in R since(RR)*= RR. We call a ring R right PF if every faithful right R-module is a …

If R is a right non-singular ring (with 1) and Q is its (RE Johnson) maximal right quotient ring,
then the R-epimorphism∑ ipi⊗ qi→∑ piqi from (Q⊗ RQ) R to QR is not in general a …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

Motivated by a result of Mochizuki [Mochizuki, H.(1965). Finitistic global dimension for rings.
Pacific J. Math. 15 (1): 249–258] that, for a left perfect ring R with Jacobson radical if and …

Let R be an arbitrary ring and let M be a finitely generated right jR-module. Then the dual
module M*= HomR (M, R) of M is a left Λ-module. If R is a left noetherian ring or finite …

A semiperfect one-sided injective ring: Communications in Algebra: Vol 12, No 16 Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

Generalisations of von Neumann regular rings are considered through annihilators, purity
and certain special cyclic modules. Left self-injective regular, strongly regular and biregular …