Results 51 to 60 of about 186 (173)

Radical preservation and the finitistic dimension

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley   +1 more source

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Pythagorean fuzzy Artinian and Noetherian ring [PDF]

Computational Algorithms and Numerical Dimensions
The Pythagorean fuzzy set is acknowledged for its proficiency in managing uncertainty across multifarious domains. In this investigation, we advance the Pythagorean fuzzy Artinian ring as an evolutionary progression from the conventional fuzzy ring ...
Meryem Fakhraoui, Idris Bakhadach, Sofyane Achik, Hamid Sadiki   +3 more
doaj   +1 more source

b‐Filter Grade of an Ideal a for Triangulated Categories

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let a and b be two homogeneous ideals in a graded‐commutative Noetherian ring R, and let X be an object in a compactly generated R‐linear triangulated category T. We introduce the notion of the b‐filter grade of a on X, denoted by f‐gradb,a,X, and provide several characterizations and bounds for this invariant. In addition, we explore the relationships
Li Wang, Hailong Yao, Caihui Lan, Xuexia Dai, Elena Guardo   +4 more
wiley   +1 more source

Flat local morphisms of rings with prescribed depth and dimension

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Ionescu Cristodor
doaj   +1 more source

Nontriviality of rings of integral‐valued polynomials

Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.
Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

Linear Groups with Many Profinitely Closed Subgroups [PDF]

Advances in Group Theory and Applications, 2017
If G is a linear group with every subgroup of G of infinite Prüfer rank closed in the profinite topology on G, we prove that either every subgroup of G is closed in this topology or G itself has finite Prüfer rank.
B.A.F. Wehrfritz
doaj   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

Left Noetherian rings with differentially trivial proper quotient rings

Karpatsʹkì Matematičnì Publìkacìï, 2009
We characterize left Noetherian rings with differentially trivial proper quotient ...
Artemovych O.D.
doaj  

Rings Whose Pure-Projective Modules Have Maximal or Minimal Projectivity Domain

Journal of New Theory
In this study, we investigate the projectivity domain of pure-projective modules. A pure-projective module is called special-pure-projective (s-pure-projective) module if its projectivity domain contains only regular modules. First, we describe all rings
Zübeyir Türkoğlu
doaj   +1 more source