[图书][B] Classical Artinian rings and related topics

Y Baba - 2009 - books.google.com
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …

Theories of Harada in Artinian rings and applications to classical Artinian rings

K Oshiro - International Symposium on Ring Theory, 2001 - Springer
In the early 1980s, Harada introduced extending and lifting properties for modules and,
simultaneously, considered two new classes of artinian rings which contain QF-rings and …

On weak co--sequences in two-sided Harada rings

B Yoshitomo - Hokkaido Mathematical Journal, 2022 - projecteuclid.org
In [7](and [8]) M. Harada studied a left artinian ring $ R $ such that every non-small left $ R $-
module contains a non-zero injective submodule. And in [12] K. Oshiro called the ring a left …

[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 …

On H-epimorphisms and co-H-sequences in two-sided Harada rings

Y Baba - Mathematical Journal of Okayama University, 2021 - ousar.lib.okayama-u.ac.jp
Abstract In [8] M. Harada studied a left artinian ring R such that every non-small left R-
module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left …

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 …

新しいアルティン環の流れ

馬場良始 - 数学, 2015 - jstage.jst.go.jp
新しいアルティン環の流れ 馬 場 良 始 Page 1 271 新しいアルティン環の流れ 馬場良始 中山環・準
フロベニウス環で代表されるアルティン環は,原田学の論文 [44] に登場した新しいアル ティン環 (これは …

[引用][C] On dual pairs and simple-injective modules

M Morimoto, T Sumioka - Journal of Algebra, 2000 - Elsevier
Tsuboi have shown that any right linearly compact ring is right quasi-dual. In this paper, in
Section 1 we shall show that any linearly compact module is quasi-dual. Moreover we shall …