Family of quotients of some special rings
M Salimi - Journal of Algebra and Its Applications, 2018 - World Scientific
Let R be a commutative Noetherian ring and let I≠ 0 be a proper ideal of R. We study some
properties of a family of rings R (I) a, b that are obtained as quotients of the Rees algebra …
properties of a family of rings R (I) a, b that are obtained as quotients of the Rees algebra …
Gorenstein injective precovers, covers, and envelopes
E Enochs, S Estrada, A Iacob - arXiv preprint arXiv:1301.5694, 2013 - arxiv.org
We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …
Trace ideals of semidualizing modules and two generalizations of nearly Gorenstein rings
M Bagherpoor, A Taherizadeh - Communications in Algebra, 2023 - Taylor & Francis
In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …
Special precovers and preenvelopes of complexes
Z Wang, Z Liu - arXiv preprint arXiv:1301.6595, 2013 - arxiv.org
The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …
Relative copure modules and Foxby equivalence
Z Zhang, J Wei - Communications in Algebra, 2021 - Taylor & Francis
Let R be a commutative ring and C a semidualizing R-module. For a non-negative integer n,
we study a natural generalization of copure injective (flat) modules by introducing the …
we study a natural generalization of copure injective (flat) modules by introducing the …
Gorenstein injective modules and local cohomology
R Sazeedeh - Proceedings of the American Mathematical Society, 2004 - ams.org
In this paper we assume that $ R $ is a Gorenstein Noetherian ring. We show that if
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …
Relative Gorenstein injective covers with respect to a semidualizing module
E Tavasoli, M Salimi - Czechoslovak Mathematical Journal, 2017 - Springer
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …
result about the covering properties of the class of relative Gorenstein injective modules with …
Local homology and Gorenstein flat modules
FMA Mashhad, K Divaani-Aazar - Journal of Algebra and Its …, 2012 - World Scientific
Let R be a commutative Noetherian ring, 𝔞 be an ideal of R and denote the derived category
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …
Almost Gorenstein rings
S Goto, N Matsuoka, TT Phuong - Journal of Algebra, 2013 - Elsevier
Barucci and Fröberg (1997)[2] introduced the notion of an almost Gorenstein ring in the case
of an analytically unramified local ring (R, m). In this work we provide a framework that …
of an analytically unramified local ring (R, m). In this work we provide a framework that …
-Strongly Gorenstein Projective, Injective and Flat modules
G Zhao, Z Huang - arXiv preprint arXiv:0904.3045, 2009 - arxiv.org
In this paper, we study the relation between $ m $-strongly Gorenstein projective (resp.
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …