Derived completion for comodules

T Barthel, D Heard, G Valenzuela - manuscripta mathematica, 2020 - Springer
… by Thick(S) the smallest thick subcategory of C containing S. … all p = m, ie, Tm is the cotorsion
envelope of N. Note that N is … Here, instead of A/I we can use a suitable Koszul complex for …

The small finitistic dimensions of commutative rings

X Zhang, F Wang - 2023 - projecteuclid.org
… of R-modules, let SubLim(C) denote the smallestcotorsion pair (A,B) is said to be induced
by an R-module M provided that B = M⊥. A cotorsion pair (A,B) induced by an n-tilting module

Finiteness properties and homological dimensions of skew group rings

V Gubitosi, R Parra - arXiv preprint arXiv:2207.10599, 2022 - arxiv.org
… In section 6, n-cotorsion modules and n-cotorsion global … R-module M, denoted by cidR(M),
is defined as the smallest … preserves totally acyclic complex of flat-cotorsion modules. In …

Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes

K Büyükboduk, A Lei - arXiv preprint arXiv:2008.08411, 2020 - arxiv.org
… the anticyclotomic Zp-extension is cotorsion over the Iwasawa algebra … for his Selmer
complexes to descend our results on the Z2 … We extend it very slightly to cover the case of …

Gorenstein silting modules and Gorenstein projective modules

N Gao, J Ma, CH Zhang - arXiv preprint arXiv:2209.00520, 2022 - arxiv.org
… In this section, we show that the 2-term Gorenstein silting complex is in bijection with the
Gorenstein silting module. Then we characterise it by the connection with the tstructure and …

Iwasawa theory of elliptic modular forms over imaginary quadratic fields at non-ordinary primes

K Büyükboduk, A Lei - International Mathematics Research …, 2021 - academic.oup.com
… The superscript |$c$| will always stand for the action of a fixed complex conjugation. We fix
… to show that the signed Selmer groups are cotorsion over the cyclotomic Iwasawa algebra. In …

[PDF][PDF] SFI-Injective and SFI-Flat Modules

NH Al-Shehri, K Ouarghi - JP Journal of Algebra, Number Theory …, 2019 - researchgate.net
… ( )), - simply or BidFP is the smallest integer n such that … -flat and flat modules. Also, we will
see when the nth Syzygy of an SFI-flat module is SFI-flat and we prove that the SFI-flat module

Homological dimensions of skew group rings

Y Xiang - Algebra Colloquium, 2020 - World Scientific
… We consider the weak global dimension, cotorsion dimension … M is defined to be the smallest
integer n such that Extn+1 … The right complex is exact since I↓G H is also injective by [10, …

Balanced pairs, cotorsion triplets and quiver representations

S Estrada, MA Perez, H Zhu - Proceedings of the Edinburgh …, 2020 - cambridge.org
… with respect to the class of flat modules over a left Noetherian non-… cotorsion triplet in mod(Λ),
where D(Λ) is the minimal … So if Flat(R) denotes the class of flat complexes, we can note …

Finiteness properties of extension functors of cominimax modules

H Karimirad, M Aghapournahr… - Communications in …, 2021 - Taylor & Francis
modules is contained in the class of FD ≤ 1 modules. Recall that a module M is a minimax
module … is a finitely generated R-module, therefore all of terms of the complex ( † ) are finitely …