Relative tilting modules with respect to a semidualizing module
M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. The notion
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …
Lifting modules, extending modules and their applications to QF-rings
K Oshiro - Hokkaido Math. J, 1984 - projecteuclid.org
1) R satisfifies (\#) . Page 1 Hokkaido Mathematical Journal Vol. 13 (1984) p. Lifting modules,
extending modules and their applications to QF-rings By Kiyoichi OSHIRO (Received June 21 …
extending modules and their applications to QF-rings By Kiyoichi OSHIRO (Received June 21 …
A note on GV-modules with Krull dimension
PF Smith, R Wisbauer - Glasgow Mathematical Journal, 1990 - cambridge.org
Extending a result of Boyle and Goodearl in [1] on V-rings it was shown in Yousif [11] that a
generalized V-module (GV-module) has Krull dimension if and only if it is noetherian. Our …
generalized V-module (GV-module) has Krull dimension if and only if it is noetherian. Our …
On envelopes with the unique mapping property
N Ding - Communications in Algebra, 1996 - Taylor & Francis
We prove that (a) if R is a left coherent ring, then the weak global dimension w D (R)<= n
(n>= 2) if and only if every (n–2) th F–cosyzygy of a finitely presented right R–module has a …
(n>= 2) if and only if every (n–2) th F–cosyzygy of a finitely presented right R–module has a …
Strongly -flat modules, strongly nonnil-injective modules and their homological dimensions
X Zhang, S Xing, W Qi - arXiv preprint arXiv:2211.14681, 2022 - arxiv.org
In this paper, we first introduce and study the notions of strongly $\phi $-flat modules and
strongly nonnil-injective modules. And then, we investigate the homology dimensions of …
strongly nonnil-injective modules. And then, we investigate the homology dimensions of …
The finitely presented torsion-free SG-projective modules are not necessarily projective
S Xing - Journal of Pure and Applied Algebra, 2024 - Elsevier
It is proved in [Strongly Gorenstein projective, injective and flat modules, J. Algebra 320
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …
Complexes of FP-injective modules
Y Geng - Algebra Colloquium, 2010 - World Scientific
In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …
On generalized qfd modules
M Saleh, SK Jain, SR López-Permouth - Archivum Mathematicum, 2005 - dml.cz
A right $ R $-module $ M $ is called a generalized qfd module if every M-singular quotient
has finitely generated socle. In this note we give several characterizations to this class of …
has finitely generated socle. In this note we give several characterizations to this class of …
On (k, n)-closed submodules
EY Celikel - arXiv preprint arXiv:1604.07656, 2016 - arxiv.org
arXiv:1604.07656v1 [math.AC] 26 Apr 2016 Page 1 arXiv:1604.07656v1 [math.AC] 26 Apr 2016
ON (k, n)-CLOSED SUBMODULES ECE YETKIN CELIKEL Abstract. Let R be a commutative ring …
ON (k, n)-CLOSED SUBMODULES ECE YETKIN CELIKEL Abstract. Let R be a commutative ring …