Results 81 to 90 of about 2,562,424 (201)
The exact bounds for the degree of commutativity of a p-group of maximal class, I [PDF]
, 2002 The first major study of p-groups of maximal class was made by Blackburn in 1958. He showed that an important invariant of these groups is the ‘degree of commutativity.’ Recently (1995) Fernández-Alcober proved a best possible inequality for the degree ...
Vera-López, Antonio +4 more
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On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Commutativity of rings through a Streb’s result [PDF]
, 2000 summary:In this paper we investigate commutativity of rings with unity satisfying any one of the properties: \[ \begin{aligned} &\lbrace 1- g(yx^{m}) \rbrace \ [yx^{m} - x^{r} f (yx^{m}) \ x^s, x] \lbrace 1- h (yx^{m}) \rbrace = 0, \\&\lbrace 1- g(yx^{m})
Khan, Moharram A.
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On nearly commutative degree one algebras [PDF]
Pacific Journal of Mathematics, 1970 Arrison, John D., Rich, Michael
openaire +3 more sources
Local multiplicativity of perverse filtrations
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
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Journal of Computational Chemistry, Volume 47, Issue 24, September 15, 2026.Quantum chemical methods of force field parameterization such as the Seminario method encountercompute limitations at large scales. We present a GNN framework that outperforms the Seminario method by 34% in reproducing infrared bond frequencies across prevalent functional groups, and is up to seven orders of magnitude faster on larger molecules ...
Yao Fu, Martin Stroet, Megan L. O'Mara
wiley +1 more source
Isoclinism Classes and Commutativity Degrees of Finite Groups
Journal of Algebra, 1995 Let \(G\) be a finite group, and for \(n\geq 0\), define \[ d_n(G)=|G|^{-(n+1)}|\{(x_1,\dots,x_{n+1})\in G^{n+1}\mid[x_i,x_j]=1,\;1\leq i,j\leq n+1\}|. \] So, \(d_1(G)=d(G)\) is the probability that two elements chosen randomly from \(G\) (with replacement) commute [see the reviewer, Am. Math. Mon. 80, 1031-1034 (1973; Zbl 0276.60013)].
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Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source
, 2016 We show some results on the probability that a randomly picked pair $(H, K)$ of subgroups of a finite group $G$ satisfies $[H, K] = 1$. This notion of probability is related with the subgroup $S$-commutativity degree in [D.E. Otera and F.G.
Russo F
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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
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