Results 51 to 60 of about 1,487 (222)

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

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

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

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

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

About j{\mathscr{j}}-Noetherian rings

Open Mathematics
Let RR be a commutative ring with identity and j{\mathscr{j}} an ideal of RR. An ideal II of RR is said to be a j{\mathscr{j}}-ideal if I⊈jI\hspace{0.33em} \nsubseteq \hspace{0.33em}{\mathscr{j}}.
Alhazmy Khaled, Almahdi Fuad Ali Ahmed, Mahdou Najib, Oubouhou El Houssaine   +3 more
doaj   +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

Periodic points of rational functions over finite fields

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract For q$q$ a prime power and ϕ$\phi$ a rational function with coefficients in Fq$\mathbb {F}_q$, let p(q,ϕ)$p(q,\phi)$ be the proportion of P1Fq$\mathbb {P}^1\left(\mathbb {F}_q\right)$ that is periodic with respect to ϕ$\phi$. Furthermore, if d$d$ is a positive integer, let Qd$Q_d$ be the set of prime powers coprime to d!$d!$ and let P(d,q ...
Derek Garton
wiley   +1 more source

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

Directed zero-divisor graph and skew power series rings [PDF]

Transactions on Combinatorics, 2018
‎Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors‎. ‎Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings‎. ‎The directed zero-divisor graph of $R$‎
Ebrahim Hashemi, Marzieh Yazdanfar, Abdollah Alhevaz   +2 more
doaj   +1 more source