Foxby equivalence over associative rings
H Holm, D White - Journal of Mathematics of Kyoto University, 2007 - projecteuclid.org
… In this section we study flat, projective, and injective modules with respect to a … of Foxby
equivalence. In the commutative noetherian setting, the following classes of modules already …
equivalence. In the commutative noetherian setting, the following classes of modules already …
Foxby equivalence relative to -weak injective and -weak flat modules
Z Gao, T Zhao - arXiv preprint arXiv:1706.00568, 2017 - arxiv.org
… modules in the Auslander and Bass classes in terms of C-injective, C-projective and C-flat
modules and showed Foxby equivalence … AC(R) contains all flat left R-modules and the Bass …
modules and showed Foxby equivalence … AC(R) contains all flat left R-modules and the Bass …
Foxby equivalence and cotorsion theories relative to semi-dualizing modules
E Enochs, S Yassemi - Mathematica Scandinavica, 2004 - JSTOR
… equivalence si ^ SB we note that SF c si and cê <z SB where & and are respectively the class
of flat and of injective modules… Recently it has also been shown that every module has a flat …
of flat and of injective modules… Recently it has also been shown that every module has a flat …
Homological dimensions of complexes of modules
HB Foxby - Séminaire d'Algèbre Paul Dubreil et Marie-Paule …, 1980 - Springer
… M consists of flat modules such that … considered as complexes concentrated in degree
X is equivalent to a non-zero module if and only We say that … X is equivalent to A complex …
X is equivalent to a non-zero module if and only We say that … X is equivalent to A complex …
Relative Gorenstein flat modules and Foxby classes and their model structures
… We also study the class of GC-flat modules and the Bass class … the class of GC-cotorsion
modules and the Auslander class. … of the Gorenstein flat model structure is triangle equivalent to …
modules and the Auslander class. … of the Gorenstein flat model structure is triangle equivalent to …
The category of graded modules
R Fossum, HB Foxby - Mathematica Scandinavica, 1974 - JSTOR
… It is enough to prove that any *flat *module is flat. Suppose M is a *flat ""module. A careful
revision of the proof of Théorème 2 in Lazard [8] shows that the *flat ""module M is the direct …
revision of the proof of Théorème 2 in Lazard [8] shows that the *flat ""module M is the direct …
Relative copure modules and Foxby equivalence
Z Zhang, J Wei - Communications in Algebra, 2021 - Taylor & Francis
… We study the relations between the classes of n-C-copure flat modules and n-C-copure
injective (projective) modules. From these, we prove the class of n-C-copure flat modules is …
injective (projective) modules. From these, we prove the class of n-C-copure flat modules is …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
… modules in the other class defined by Foxby. The basic result of this paper is that the two
classes involved in Foxby’s duality coincide with the classes of those modules … flat modules is …
classes involved in Foxby’s duality coincide with the classes of those modules … flat modules is …
Complexes of injective modules
HB Foxby - London Math. Soc. Lecture Note Ser, 1982 - books.google.com
… The complex U is equivalent to a non-zero module M if and only O … Flat base change In
this section B is a flat A-algebra. Furthermore, A is supposed to be local, and the fibre ring C= B/…
this section B is a flat A-algebra. Furthermore, A is supposed to be local, and the fibre ring C= B/…
-projective dimensions, Foxby equivalence and -projective modules
… modules under change of rings. Secondly, we establish a new version of the Foxby equivalence
with respect to DC -projective modules … an R-module Q a DC-flat module if there exists a …
with respect to DC -projective modules … an R-module Q a DC-flat module if there exists a …