[PDF][PDF] Copresented dimension of modules

M Amini, F Hassani - نشریه علوم ریاضی و انفورماتیک, 2019‎ - ijmsi.ir
Copresented Dimension of Modules Page 1 Iranian Journal of Mathematical Sciences and
Informatics Vol. 14, No. 2 (2019), pp 153-157 DOI: 10.7508/ijmsi.2019.02.012 Copresented …

Essential extensions, excellent extensions and finitely presented dimension

F Lianggui - Acta Mathematica Sinica, 1997 - Springer
In Section 1 of this paper, we investigate the finitely presented dimension of an essential
extension for a module, and obtain results concerning an essential extension of a torsion …

[PDF][PDF] On co-Noetherian dimension of rings

A Haghany, MR Vedadi - Bulletin of the Iranian Mathematical …, 2012 - bims.iranjournals.ir
We define and studyco-Noetherian dimension of rings for which the injective envelopeof
simple modules have finite Krull-dimension. This is a Moritainvariant dimension that …

Homological dimensions of complexes of modules

HB Foxby - Séminaire d'Algèbre Paul Dubreil et Marie-Paule …, 1980 - Springer
This note presents the definitions of homological dimensions of bounded complexes of
modules as proposed by the author in [3]. Somewhat different definitions have been …

On the Gorenstein injective dimension and Bass formula

F Khosh-Ahang - Archiv der Mathematik, 2008 - Springer
In this paper, we compare Krull dimension, Gorenstein injective dimension and injective
dimension of a module in several cases. In fact, we establish some generalizations of the …

On the sum of homological dimension and codimension of modules over a semi-local ring

SSH Young - Nagoya Mathematical Journal, 1968 - cambridge.org
Let M be a finitely generated module over a regular local ring R. It is well known that the sum
of homological dimension and codimension of M is equal to the global dimension of R. For …

Injective dimensions of local cohomology modules

A Vahidi - Bulletin of the Korean Mathematical Society, 2017 - koreascience.kr
Assume that R is a commutative Noetherian ring with non-zero identity, a is an ideal of R, X
is an R-module, and t is a non-negative integer. In this paper, we present upper bounds for …

[PDF][PDF] The behavior of homological dimensions

M Ansari, E Hosseini - Theory of Approximation and Applications, 2013 - msj.arak.iau.ir
The behavior of homological dimensions 1 Introduction Page 1 Mathematics Scientific Journal
Vol. 7, No. 1, (2011), 1-10 The behavior of homological dimensions M. Ansaria,1, E. Hosseini …

Gorenstein dimensions over ring homomorphisms

W Dejun - Communications in Algebra, 2015 - Taylor & Francis
In this paper, we study injective dimension and Gorenstein injective dimension over local
ring homomorphisms. Some well-known results are generalized. For example, the Bass …

Finitistic dimension and restricted injective dimension

D Wu - Czechoslovak Mathematical Journal, 2015 - Springer
We study the relations between finitistic dimensions and restricted injective dimensions. Let
R be a ring and T a left R-module with A= End RT. If RT is selforthogonal, then we show that …