Results 21 to 30 of about 18,656,732 (149)
On the connection between the topological graph property and the theory of commutative rings [PDF]
, 2017 We try to establish some connections between commutative ring theory and topological graph theory, by study of the genus of the intersection graph of ideals and classify all graphs of genus 1 and genus 2 that are intersection graphs of ideals of some ...
Pucanović, Zoran
core +4 more sources
Digraph and Graph of Regular Rings with Some Properties
مجلة بغداد للعلومDuring this century, a new research trend has emerged wherein algebraic concepts are combined with graph theory, such as zero divisors, clean rings, ideals, and regular rings.
Shahla Moayad Kaleel +4 more
doaj +1 more source
Matrix invertible extensions over commutative rings. Part I: General theory
Journal of Pure and Applied AlgebraAccepted for publication in final form (18 pages) in J. Pure Appl. Algebra on Nov. 18, 2024.
Grigore Călugăreanu +2 more
openaire +2 more sources
A Comprehensive Review of Fault‐Current Limiter Technologies for Smart and Resilient Power Systems
Energy Science &Engineering, EarlyView.This review compares superconducting, solid‐state, and hybrid fault‐current limiters (FCLs) for modern alternating current, direct current, and hybrid grids. It shows that optimal FCL selection depends on fault characteristics, network configuration, voltage level, protection coordination, and resilience requirements rather than on a universally ...
Abdelrahman Farghly +5 more
wiley +1 more source
On matrix Lie rings over a commutative ring that contain the special linear Lie ring [PDF]
, 2016 summary:Let $K$ be an associative and commutative ring with $1$, $k$ a subring of $K$ such that $1\in k$, $n\geq 2$ an integer. The paper describes subrings of the general linear Lie ring $gl_{n} ( K )$ that contain the Lie ring of all traceless matrices
Pekönür, Esra, Bashkirov, Evgenii L.
core +1 more source
Free summands of stably free modules
Forum of Mathematics, SigmaLet R be a commutative ring. One may ask when a general R-module P that satisfies $P \oplus R \cong R^n$ has a free summand of a given rank. M. Raynaud translated this question into one about sections of certain maps between Stiefel varieties: if
Sebastian Gant, Ben Williams
doaj +1 more source
Graded Differential Polynomial Rings
Mathematische Nachrichten, EarlyView.ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley +1 more source
On the genus of the intersection graph of ideals of a commutative ring [PDF]
, 2014 To each commutative ring R one can associate the graph G(R), called the intersection graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish some connections between commutative ring theory and graph theory, by ...
ALEKSANDRA LJ. ERIĆ +6 more
core +1 more source
Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz +2 more
wiley +1 more source
Naive-commutative ring structure on rational equivariant K-theory for abelian groups [PDF]
, 2022 In this paper, we calculate the image of the connective and periodic rational equivariant complex K-theory spectrum in the algebraic model for naive-commutative ring G-spectra given by Barnes, Greenlees and Kędziorek for finite abelian G.
Bohmann, Anna Marie +5 more
core +1 more source