Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre–Grothendieck duality
L Positselski - Selecta Mathematica, 2017 - Springer
… Abstract For a left coherent ring A with every left ideal having a … category of left A-modules
is compactly generated by the bounded derived category of finitely presented left A-modules (…
is compactly generated by the bounded derived category of finitely presented left A-modules (…
[HTML][HTML] The flat stable module category of a coherent ring
J Gillespie - Journal of Pure and Applied Algebra, 2017 - Elsevier
… category structure, the Gorenstein flat model structure, on the category of left R-modules where
R is any right coherent ring. … precisely the Gorenstein flat modules which were introduced …
R is any right coherent ring. … precisely the Gorenstein flat modules which were introduced …
AC-Gorenstein rings and their stable module categories
J Gillespie - Journal of the Australian Mathematical Society, 2019 - cambridge.org
… ring is precisely a Ding–Chen ring. We show that any AC-Gorenstein ring admits a stable
module category … is the homotopy category of two Quillen equivalent abelian model category …
module category … is the homotopy category of two Quillen equivalent abelian model category …
K-theory of n-coherent rings
E Ellis, R Parra - Journal of Algebra and Its Applications, 2022 - World Scientific
… It is well known that R is a coherent ring if and only if the category of coherent modules (1-Coh(R))
coincides with the category of finitely presented modules (FP1(R)). The Proposition …
coincides with the category of finitely presented modules (FP1(R)). The Proposition …
Almost coherent modules and almost coherent sheaves
B Zavyalov - arXiv preprint arXiv:2110.10773, 2021 - arxiv.org
… coherent modules that was introduced in “Almost Ring Theory” [GR03] by Gabber and
Ramero. Then we globalize it by developing a new theory of almost coherent … to usual coherent …
Ramero. Then we globalize it by developing a new theory of almost coherent … to usual coherent …
On the degree-wise coherence of FI_G-modules
E Ramos - arXiv preprint arXiv:1606.04514, 2016 - arxiv.org
… We prove that a module is coherent, in the appropriate sense, if and … category of coherent
FIG-modules is abelian, independent of any assumptions on the group G, or the coefficient ring …
FIG-modules is abelian, independent of any assumptions on the group G, or the coefficient ring …
[图书][B] Foundations of module and ring theory
R Wisbauer - 2018 - taylorfrancis.com
… refinement of the customary module theory and, … module category over a ring with unit. In
addition the more general assertions also apply to rings without units and comprise the module …
addition the more general assertions also apply to rings without units and comprise the module …
Locally type and -coherent categories
D Bravo, J Gillespie, MA Pérez - arXiv preprint arXiv:1908.10987, 2019 - arxiv.org
… category of modules over an n-coherent ring, we present the concept of n-coherent categories,
which also recovers the notions of locally noetherian and locally coherent categories for n …
which also recovers the notions of locally noetherian and locally coherent categories for n …
Modules Whose Endomorphism Rings Are (m, n)-Coherent
X Luo, L Mao - Algebra Colloquium, 2019 - World Scientific
… R-module, then HomR(M,N) is an (m, n)-flat right S-module. … ring S of a right R-module
M is left (m, n)-coherent. It is shown … n)-coherent ring; (b) every M-(n, m)-presented right R-module …
M is left (m, n)-coherent. It is shown … n)-coherent ring; (b) every M-(n, m)-presented right R-module …