Relative Gorenstein flat modules and dimension
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …
survey of their behavior in terms of both structural and dimension properties. We relate the …
Gorenstein dimension and torsion of modules over commutative Noetherian rings
V Maşiek - Communications in Algebra, 2000 - Taylor & Francis
Gorenstein dimension and torsion of modules over commutative noetherian rings Page 1
COMMUNICATIONS IN ALGEBRA, 28(l2), 5783-58 1 1 (2000) GORENSTEIN DIMENSION …
COMMUNICATIONS IN ALGEBRA, 28(l2), 5783-58 1 1 (2000) GORENSTEIN DIMENSION …
Gorenstein dimensions in trivial ring extensions
N Mahdou, K Ouarghi - Commutative Algebra and its Applications, 2009 - degruyter.com
In this paper, we show that the Gorenstein global dimension of trivial ring extensions is often
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …
Coherent rings with finite self-FP-injective dimension
N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings
L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
Abstract Let T=(A 0 UB) be a formal triangular matrix ring, where A and B are rings and U is
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …
Rings over which the class of Gorenstein flat modules is closed under extensions
D Bennis - Communications in Algebra, 2009 - Taylor & Francis
A ring R is called left “GF-closed”, if the class of all Gorenstein flat left R-modules is closed
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …
Rings with finite Gorenstein global dimension
E Enochs, S Estrada, A Iacob - Mathematica Scandinavica, 2008 - JSTOR
RINGS WITH FINITE GORENSTEIN GLOBAL DIMENSION Page 1 MATH. SC AND. 102 (2008),
45-58 RINGS WITH FINITE GORENSTEIN GLOBAL DIMENSION E. ENOCHS1", S …
45-58 RINGS WITH FINITE GORENSTEIN GLOBAL DIMENSION E. ENOCHS1", S …
Gorenstein projective and injective dimensions over Frobenius extensions
W Ren - Communications in Algebra, 2018 - Taylor & Francis
ABSTRACT Let R⊂ A be a Frobenius extension of rings. We prove that:(1) for any left A-
module M, AM is Gorenstein projective (injective) if and only if the underlying left R-module …
module M, AM is Gorenstein projective (injective) if and only if the underlying left R-module …
Finitistic dimension and restricted flat dimension
J Wei - Journal of algebra, 2008 - Elsevier
We investigate the relations between finitistic dimensions and restricted flat dimensions
(introduced by Foxby [LW Christensen, H.-B. Foxby, A. Frankild, Restricted homological …
(introduced by Foxby [LW Christensen, H.-B. Foxby, A. Frankild, Restricted homological …
Testing for the Gorenstein property
O Celikbas, S Sather-Wagstaff - Collectanea mathematica, 2016 - Springer
We answer a question of Celikbas, Dao, and Takahashi by establishing the following
characterization of Gorenstein rings: a commutative noetherian local ring (R,\mathfrak m)(R …
characterization of Gorenstein rings: a commutative noetherian local ring (R,\mathfrak m)(R …