Trace ideals, normalization chains, and endomorphism rings
E Faber - arXiv preprint arXiv:1901.04766, 2019 - arxiv.org
… characterize reflexive R-modules, where R is a reduced ring, … In Section 4 we consider
reduced one-dimensional local rings … change of the base ring and homomorphism modules, and …
reduced one-dimensional local rings … change of the base ring and homomorphism modules, and …
[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, …
reflexive property for rings by … power series reflexive and nil generalized power series reflexive, …
Some properties of a family of quotients of the Rees algebra
E Tavasoli - Journal of Algebra and Its Applications, 2019 - World Scientific
… Then we get a ring homomorphism R(I)a,b → R, that maps s … if it is semidualizing and has
finite injective dimension. By the … of totally reflexivity between R(I)a,b and the original ring R is …
finite injective dimension. By the … of totally reflexivity between R(I)a,b and the original ring R is …
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, …
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: …
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 …
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 …
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
… 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 …
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 reflexive … finite dimensional …
sheaves on the minimal compactification, we use the notion of reflexive … finite dimensional …
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. …
Let ϕ : R → S be a ring homomorphism of finite flat dimension and C a semidualizing R-module. …