ON COLOCAL PAIRS

Y BABA - Ring Theory 2007, 2009 - World Scientific
Abstract In [10, Theorem 3.1] KR Fuller characterized indecomposable injective projective
modules over artinian rings using i-pairs. In [3] the author generalized this theorem to …

[PDF][PDF] On quasi-projective modules and quasi-injective modules

Y Baba - Scientiae Mathematicae Japonicae, 2006 - jams.or.jp
In [9, Theorem 3.1] KR Fuller characterized indecomposable injective projective modules
over artinian rings using i-pairs. In [3] the author generalized this theorem to …

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

Y Baba - Journal of Algebra, 1993 - Elsevier
In [KR Fuller, on indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969),
115-135, Theorem 3.1] KR Fuller gave necessary and sufficient conditions for projective left …

Σ-pure-injective Modules and Artinian Modules

A Facchini, A Facchini - Module Theory: Endomorphism rings and direct …, 1998 - Springer
The aim of this chapter is to study the endomorphism rings of artinian modules (Section
10.2) and, in particular, to characterize the endomorphism rings of artinian modules that are …

[HTML][HTML] Rings and modules characterized by opposites of injectivity

R Alizade, E Büyükaşık, N Er - Journal of Algebra, 2014 - Elsevier
In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-
subinjective if every homomorphism N→ M extends to some E (N)→ M, where E (N) is the …

[引用][C] Almost projective modules

M Harada - Journal of Algebra, 1993 - Elsevier
We studied 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) …

[PDF][PDF] On almost relative injectives on Artinian modules

M Harada - 1990 - projecteuclid.org
We have introduced a concept of almost relative projectives (resp. injectives) in [7](resp.[2])
which is deeply related with lifting modules [9](resp. extending modules [10]). When we …

[PDF][PDF] Self mini-injective rings

M Harada - 1982 - projecteuclid.org
Let R be a ring. We have studied rings whose projective modules have the extending
property of simple modules in [3] and [5]. In this note, we shall further study those rings when …

On indecomposable injectives over artinian rings

K Fuller - Pacific Journal of Mathematics, 1969 - msp.org
On indecomposable injectives over artinian rings Page 1 Pacific Journal of Mathematics ON
INDECOMPOSABLE INJECTIVES OVER ARTINIAN RINGS KENT RALPH FULLER Vol. 29 …

[PDF][PDF] Lifting modules, extending modules and their applications to generalized uniserial rings

K Oshiro - Hokkaido Mathematical Journal, 1984 - projecteuclid.org
Artinian serial principal ideal rings and artinian serial rings are tradi-tionally called
uniserialrings and generalized uniserial rings, respectively. These rings are important …