[HTML][HTML] Nilpotent elements and nil-reflexive property of generalized power series rings

E Ali - Advances in Pure Mathematics, 2022 - scirp.org
… a ring and (S,≤) a strictly ordered monoid. In this paper, we deal with a new approach to
reflexive property for rings by … power series reflexive and nil generalized power series reflexive, …

Finitistic dimension conjectures via Gorenstein projective dimension

P Moradifar, J Šaroch - Journal of Algebra, 2022 - Elsevier
finite projective dimension are important partly because they behave more or less similarly
to modules over rings of finite global dimension… of finite Gorenstein projective dimension, …

Smooth flat maps over commutative DG-rings

L Shaul - Mathematische Zeitschrift, 2021 - Springer
… Given a map \(A \rightarrow B\) between non-positive commutative noetherian DG-rings which
is of flat dimension 0, … Homomorphisms of flat dimension 0 are stable under base change: …

On the reducing projective dimension over local rings

O Celikbas, S Dey, T Kobayashi… - Glasgow Mathematical …, 2024 - cambridge.org
… that N is not reflexive. As R is a one-dimensional domain, an R-module is reflexive if and only
if it … This condition also holds for certain ring homomorphisms when I equals the Gorenstein …

[PDF][PDF] A note on (s, ω)-quasi-armendariz rings

E Ali, A Elshokry - Palestine J. Math - researchgate.net
… to characterize when a finite dimensional algebra with unity … R/I is S-compatible, to indicate
the homomorphism ω, we will … Hence we shall call a ring R a reflexive ring if 0 is a reflexive

Homological dimensions, the Gorenstein property, and special cases of some conjectures

S Dey, R Holanda, CB Miranda-Neto - arXiv preprint arXiv:2405.00152, 2024 - arxiv.org
… homological dimensions of the R-module HomR(M,R) forces M to be free, or totally reflexive,
or … Below we furnish simple instances of a ring homomorphism R → S satisfying mS = S for …

On finiteness theorems for automorphic forms

T Yamauchi - arXiv preprint arXiv:2107.07908, 2021 - arxiv.org
ring which we can work on. To realize automorphic forms as global sections on some coherent
sheaves on the minimal compactification, we use the notion of reflexivefinite dimensional

Topics in topology and homotopy theory

G Warner - arXiv preprint arXiv:2007.02467, 2020 - arxiv.org
… or a reader who wants to learn the theory of dimension could immediately turn to §19 and
§20. … category of ordered sets and order preserving maps (reflexive + transitive = order). [Note: …

Gorenstein projective dimensions of complexes under base change with respect to a semidualizing module

C Zhang - Bulletin of the Korean Mathematical Society, 2021 - koreascience.kr
… the properties of GPC-projective dimensions for complexes over ring homomorphisms. …
Let ϕ : R → S be a ring homomorphism of finite flat dimension and C a semidualizing R-module. …

Two-dimensional extended homotopy field theories

K Sözer - Algebraic & Geometric Topology, 2023 - msp.org
We give another definition of 2–dimensional extended homotopy field theories (EHFTs) with
aspherical targets and classify them. When the target of EHFT is chosen to be a K (G, 1)–…