Results 91 to 100 of about 1,616,014 (220)
The DGA of planar loops when 2n=4$2n=4$
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract The DGA of planar loops is a pictorial chain complex introduced in a recent paper of the author, Boyd, Randal‐Williams and Sroka, where a minimal model for it was given. In the first non‐trivial case, 2n=4$2n=4$, we give a new model which incorporates two natural ‘reflection’ involutions, as well as a more explicit description of the existing ...
Guy Boyde
wiley +1 more source
Jacobson-Type Graphs Over Rings: Induced Subgraphs and Isomorphisms
Science and Technology IndonesiaJacobson-type graphs provide a combinatorial framework for studying structural properties of finite commutative rings. We address two foundational questions: the behavior of these graphs under subring inclusions, and conditions under which distinct ...
Siti Humaira +5 more
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On tested Bousfield–Friedlander localizations
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We show that a Bousfield–Friedlander localization of a model category of functors with respect to a set of test morphisms, as introduced by Bandklayder, Bergner, Griffiths, Johnson and Santhanam, can be characterized as a left Bousfield localization at a specific tensoring of the set of homotopy generators.
Niall Taggart
wiley +1 more source
The Wiener index and spectrum of the nil clean graph of a finite commutative ring
Journal of Nigerian Society of Physical SciencesFor a finite commutative ring R, the nil clean graph GN(R) is the undirected simple graph with the elements of R as its vertex set, where two distinct vertices x and y are joined by an edge exactly when x + y decomposes as a nilpotent element plus an ...
S. Arumugakaveri +2 more
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Local Cohomology Modules and Relative Cohen-Macaulayness
Discussiones Mathematicae - General Algebra and Applications, 2018 Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
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Polynomial functions over finite commutative rings
Theoretical Computer Science, 2017 Let \(R\) be a finite, commutative, unital ring. A polynomial \(p\in R[x]\) naturally induces a function \(p_f:R\rightarrow R\) by substitution. A function \(f:R\rightarrow R\) is a polynomial function if there exists a polynomial \(p_f\in R[x]\) such that \(p_f(r) = f(r)\) for every \(r\in R\). A ring is local if it has a unique maximal ideal.
Balázs Bulyovszky, Gábor Horváth
openaire +3 more sources
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
On the polynomial Szemerédi theorem in finite commutative rings
Transactions of the American Mathematical SocietyThe polynomial Szemerédi theorem by Bergelson and Leibman [J. Amer. Math. Soc. 9 (1996), pp. 725–753] implies that, for every δ
Bergelson, Vitaly, Best, Andrew
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Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
On zero-divisor graphs of small finite commutative rings [PDF]
, 2007 In this article, all graphs on n=6,7,…,14 vertices which can be realized as the zero-divisor graphs of a commutative rings with 1, and the list of all rings (up to isomorphism) which produce these graphs, are given.
Redmond, Shane P.
core +1 more source