Quasi-projective and quasi-injective modules

A Koehler - Pacific J. Math, 1971 - msp.org
quasi-projective modules. !• Quasi-projective modules* The goal of this section is to prove
… 1.10 which is a characterization of quasi-projective modules over left perfect rings. The first …

Injectivity of quasi-projective modules, projectivity of quasi-injective modules, and projective cover of injective modules

Y Baba - Journal of Algebra, 1993 - Elsevier
… In the present paper first we generalize the theorem by giving necessary and sufficient
conditions for quasi-projective modules to be injective and ones for quasi-injective modules to be …

[PDF][PDF] Rings for which every cyclic module is quasi-projective

A Koehler - Mathematische Annalen, 1970 - academia.edu
module, dp : P ~ M be an epimorphism, and S = End (P). Then i) M is quasi-projective if Ker
tk … under S, and ii) Ker~b is invariant under S if Ker~b is small in P and M is quasi projective. …

Quasi-projective modules over prime hereditary Noetherian V-rings are projective or injective

HQ Dinh, CJ Holston, DV Huynh - Journal of Algebra, 2012 - Elsevier
Let Q be the field of rational numbers. As a module over the ring Z of integers, Q is Z-projective,
but Q Z is not a projective module. Contrary to this situation, we show that over a prime …

Finitely presented modules and finitely generated quasi-projective modules

TG Faticoni - Communications in Algebra, 1984 - Taylor & Francis
… that M is a quasi-projective R-module. 111 … a quasi-projective module M with a projective
cover is projective modulo its annihilator. Thus, (finitely generated) quasi-projective modules

Quasi-projective covers and direct sums

A Koehler - Proceedings of the American Mathematical Society, 1970 - ams.org
… P(M) is a projective module, and Ker <p is small in P(M) (ie A=P … A module is quasi-projective
iff for every epimorphism q:M^A, … of two quasi-projective modules is always quasiprojective. …

[引用][C] On quasi-projective modules via relative projectivity

KR Fuller, DA Hill - Archiv der Mathematik, 1970 - Springer
… RR is II-quasi-projective; and that any quasi-projective module that possesses a … module
over a factor ring of R. In section 3 we show that any finitely generated quasi-projective module

[引用][C] On direct representations of quasi-injectives and quasi-projectives

KR Fuller - Archiv der Mathematik, 1969 - Springer
… question, but a quasi-projective that has a projective cover is always Z-quasi-projective and,
in … (ie, a left per[eel ring [1]) a quasi-projective module is projective aaodulo its annihilator. …

Submodules of quasi-projective modules

J Ahsan - Communications in Algebra, 1981 - Taylor & Francis
… image of a quasi-injective module is quasi-injective. One … of a finitely generated quasi-projective
module is quasi-projective. In … of a quasi-projective module is quasi-projective. Following …

[引用][C] Almost projective modules

M Harada - Journal of Algebra, 1993 - Elsevier
… almost relative projective modules and almost relative injective modules in [3, 6, 7]. In this
short note we define a new module, an almost projective (resp. almost injective) module. Let R …