Square-reflexive polynomials

KJ Becher, P Gupta - Journal of Number Theory, 2022 - Elsevier
… 2-dimension 0 or 1, which is equivalent to saying that every 3-dimensional quadratic form
over L is isotropic for every finite … in Section 7 the relation of square-reflexivity of f ∈ E [ X ] to …

Flat cotorsion modules over Noether algebras

R Kanda, T Nakamura - Documenta Mathematica, 2022 - ems.press
… spectra, called reflexive points; for each reflexive point N ∈ … functor along a ring homomorphism
preserves various … A/pA → A/P, and hence A/P is also a finite-dimensional (R/p)-algebra. …

Counting Generating Sets in Frobenius Skew Polynomial Rings

AM Dills - 2021 - scholarworks.gsu.edu
… the Gelfand-Kirillov dimension agrees with the classic Krull dimension when the algebra is …
surjective homomorphism ϕ : R → R/P that can be extended to a surjective homomorphism ϕ …

The depth, the delooping level and the finitistic dimension

V Gélinas - Advances in Mathematics, 2022 - Elsevier
… given by residue classes of homomorphisms modulo those factoring through projective …
if M is reflexive. The converse holds for rings over which double dual modules are reflexive. …

On the new intersection theorem for totally reflexive modules

K Divaani-Aazar, FMA Mashhad, E Tavanfar… - Collectanea …, 2020 - Springer
… \text {G}}\)-regular local ring or when M has complete intersection dimension zero, we show
the … A deformation is a surjective homomorphism of local rings \(R\leftarrow A\) with the kernel …

Homotopical Approach to Tensor Products of Modules

K Boyareddygari - arXiv preprint arXiv:2012.00939, 2020 - arxiv.org
… any ring homomorphisms with source Q such that g1i = g2i. This tells us that g1 coincides with
g2 on the integers. Because ring homomorphisms … constructed from ring homomorphisms. …

PURITY AND TORSORS OVER PRÜFER BASES

N Guo, F Liu - 2023 - hal.science
finite étale covers on smooth schemes over Prüfer rings by … dimensions over Prüfer
bases, we present an Auslander– Buchsbaum formula. On the basis of the analysis of reflexive

Fr\'echet Modules and Descent

O Ben-Bassat, K Kremnizer - arXiv preprint arXiv:2002.11608, 2020 - arxiv.org
… The category of Banach rings has as morphisms those ring homomorphisms R → S such …
of flat epimorphisms. The analogous issue does not arise in finite dimensional algebraic or …

Modularity of strings on F-theory backgrounds

CA Fierro Cota - 2022 - bonndoc.ulb.uni-bonn.de
… spectrum of six-dimensional supergravity theories, the data … supersymmetric index for
four-dimensional theories with N = 2 … dimensional base polytope ∆B and a 2-dimensional reflexive

Bounds on Gorenstein Dimensions and Exceptional Complete Intersection Maps

H Faridian - arXiv preprint arXiv:2402.06834, 2024 - arxiv.org
ring homomorphisms through imposed conditions on the modules along them. An important
class of ring homomorphisms … with a remark on totally reflexive modules and G-regular rings. …