Topics on -almost Gorenstein rings
S Goto, N Taniguchi - arXiv preprint arXiv:1704.01278, 2017 - arxiv.org
The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …
[PDF][PDF] Rings over which all modules are gorenstein (resp., strongly gorenstein) projective
D Bennis, N Mahdou, K Ouarghi - arXiv preprint arXiv:0712.0127, 2007 - Citeseer
One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
Goto rings
N Endo - arXiv preprint arXiv:2312.14379, 2023 - arxiv.org
As part of stratification of Cohen-Macaulay rings, we introduce and develop the theory of
Goto rings, generalizing the notion of almost Gorenstein rings originally defined by V …
Goto rings, generalizing the notion of almost Gorenstein rings originally defined by V …
[HTML][HTML] Ulrich ideals and 2-AGL rings
S Goto, R Isobe, N Taniguchi - Journal of Algebra, 2020 - Elsevier
The notion of 2-almost Gorenstein local ring (2-AGL ring for short) is a generalization of the
notion of almost Gorenstein local ring from the point of view of Sally modules of canonical …
notion of almost Gorenstein local ring from the point of view of Sally modules of canonical …
Characterization of generalized Gorenstein rings
S Goto, R Isobe, S Kumashiro, N Taniguchi - arXiv preprint arXiv …, 2017 - arxiv.org
arXiv:1704.08901v1 [math.AC] 28 Apr 2017 Page 1 arXiv:1704.08901v1 [math.AC] 28 Apr 2017
CHARACTERIZATION OF GENERALIZED GORENSTEIN RINGS SHIRO GOTO, RYOTARO …
CHARACTERIZATION OF GENERALIZED GORENSTEIN RINGS SHIRO GOTO, RYOTARO …
Gorenstein n-flat modules and their covers
C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
Gorenstein projective precovers
S Estrada, A Iacob, K Yeomans - Mediterranean Journal of Mathematics, 2017 - Springer
We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …
On (strongly) Gorenstein von Neumann regular rings
N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
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Gorenstein derived functors from special rings to arbitrary rings
T Zhao - arXiv preprint arXiv:1405.3375, 2014 - arxiv.org
arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
Rings over which all modules are strongly Gorenstein projective
One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
modules are strongly Gorenstein projective. We show that these kinds of rings are very …