A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

A ring R is called “left generalized morphic” if for every element a in R, there exists b∈ R
such that l (a)≅ R/Rb, where l (a) denotes the left annihilator of a in R. The aim of this article …

The aim of this paper is twofold. Firstly, to give short proofs of the celebrated results of Rudd
(1970), De Marco (1972), Brookshear (1977), Neville (1990), and Vechtomov (1996) with the …

Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …

Let R be a ring. R is left coherent if each of its finitely generated left ideals is finitely
presented. R is called left generalized morphic if for every element a in R, l (a)= Rb for some …

Let R be a ring. For a fixed positive integer n, R is said to be left n-semihereditary in case
every n-generated left ideal is projective. R is said to be weakly n-semihereditary if each n …

(m,n)-投射模与( m,n)-遗传环 Page 1 第57卷第2期 吉林大学学报(理学版) Vol.57 No.2 2019年
3月 JournalofJilinUniversity(ScienceEdition) Mar 2019 doi:10.13413/j.cnki.jdxblxb.2018305 …

We investigate purities determined by classes of finitely presented modules including the
correspondence between purities for left and right modules. We show some cases where …

In this article, we compare (n, m)-purities for different pairs of positive integers (n, m). When
R is a commutative ring, these purities are not equivalent if R does not satisfy the following …

This paper unifies several generalizations of coherent rings in one notion. Namely, we
introduce nX-coherent rings, where X is a class of modules and n is a positive integer, as …