Results 151 to 160 of about 64,616 (316)
Where Mathematical Symbols Come From
Topics in Cognitive Science, EarlyView.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Journal of Pure and Applied AlgebraLet $KQ$ be a path algebra, where $Q$ is a finite quiver and $K$ is a field. We study $KQ/C$ where $C$ is the two-sided ideal in $KQ$ generated by all differences of parallel paths in $Q$. We show that $KQ/C$ is always finite dimensional and its global dimension is finite.
Edward L. Green, Sibylle Schroll
openaire +2 more sources
Equality of skew Schur functions in noncommuting variables
Bulletin of the London Mathematical Society, EarlyView.Abstract The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li, and van Willigenburg introduced skew Schur functions in noncommuting variables, s(δ,D)$s_{(\delta,\mathcal {D})}$, where D$\mathcal {D}$ is a connected skew diagram with n$n ...
Emma Yu Jin, Stephanie van Willigenburg
wiley +1 more source
The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
Variation inequalities related to Schrödinger operators on weighted Morrey spaces
Open Mathematics, 2019 This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
doaj +1 more source
Non-Commutative Abelian Higgs model [PDF]
arXiv, 2004 We investigate the Non-Commutative Abelian Higgs model. We argue that it is possible to introduce a consistent renormalization method by imposing the Non-commutative BRST invariance of the theory and by introducing the Non-Commutative Quasi-Classical Action Principle.
arxiv
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, EarlyView.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Lying-Over Theorem on Left Commutative Rngs [PDF]
arXiv, 2005 We introduce the notion of a graded integral element, prove the counterpart of the lying-over theorem on commutative algebra in the context of left commutative rngs, and use the Hu-Liu product to select a class of noncommutative rings.
arxiv