Strongly Gorenstein flat modules
N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
… modules and Gorenstein flat modules. The strongly … modules and Gorenstein flat modules.
In Section 3, we define and investigate the strongly Gorenstein flat dimension for modules and …
In Section 3, we define and investigate the strongly Gorenstein flat dimension for modules and …
Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
… Gorenstein injective and Gorenstein flat modules have been studied by … -Gorenstein rings
(see [7, Theorem 2.1]). In this section, we shall show that every R-module has a Gorenstein flat …
(see [7, Theorem 2.1]). In this section, we shall show that every R-module has a Gorenstein flat …
Rings over which the class of Gorenstein flat modules is closed under extensions
D Bennis - Communications in Algebra, 2009 - Taylor & Francis
… the characterization of Gorenstein flat left modules (then of Gorenstein flat dimension of left …
that the class of all Gorenstein flat left R-modules and the class of all flat left R-modules agree.…
that the class of all Gorenstein flat left R-modules and the class of all flat left R-modules agree.…
Stability of Gorenstein flat modules
S Bouchiba, M Khaloui - Glasgow Mathematical Journal, 2012 - cambridge.org
… It is proved in this respect that each Gorenstein flat module is a direct summand of a strongly
Gorenstein flat module (Theorem 3.5 in [4]). The proof of our main theorem relies heavily on …
Gorenstein flat module (Theorem 3.5 in [4]). The proof of our main theorem relies heavily on …
The existence of Gorenstein flat covers
EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
… Using the result mentioned above we show that the clas of Gorenstein flat (left) modules
along … Gorenstein flat modules (see 3 for the definition) and obtain a relative version of the "flat …
along … Gorenstein flat modules (see 3 for the definition) and obtain a relative version of the "flat …
Gorenstein flat covers of modules over Gorenstein rings
E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
… It is worth noting that the existence of a Gorenstein projective … a Gorenstein projective cover.
Finally, in Section 3, we prove that every module over a Gorenstein ring has a Gorenstein flat …
Finally, in Section 3, we prove that every module over a Gorenstein ring has a Gorenstein flat …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… Using the analogous approximations of Gorenstein flat modules by PGF-modules and flat
modules, that were obtained by Saroch and Stovicek in [26], we describe a similar Hovey triple …
modules, that were obtained by Saroch and Stovicek in [26], we describe a similar Hovey triple …
Model structures and relative Gorenstein flat modules and chain complexes
S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… cotorsion) modules. In this paper, we generalise this result to a certain … of Gorenstein flat
modules, which we call Gorenstein B -flat modules, where B is a class of right R -modules. Using …
modules, which we call Gorenstein B -flat modules, where B is a class of right R -modules. Using …
[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings
L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
… Gorenstein flat modules over a triangular matrix ring T under the condition “T is a Gorenstein
ring, … The main objective of the present paper is to further study Gorenstein flat modules over …
ring, … The main objective of the present paper is to further study Gorenstein flat modules over …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
… of the Gorenstein flat complexes of modules. We show that if R is a left GF-closed ring,
then a complex X is Gorenstein flat if and only if the modules Xi are Gorenstein flat for all i ∈ . …
then a complex X is Gorenstein flat if and only if the modules Xi are Gorenstein flat for all i ∈ . …
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