Results 41 to 50 of about 11,887 (154)
Derangements in intransitive groups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 more
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Jordan homomorphisms onto nondegenerate Jordan algebras
Journal of Algebra, 1990 Let \(\phi: J_ 0\to J\) be an epimorphism of special Jordan algebras over a field of characteristic \(\neq 2\), where \(J\) is nondegenerate. The author proves that J embeds in a direct sum \(J_ 1\oplus J_ 2\) of special Jordan algebras and that \(\phi\) lifts to a direct sum \(\phi_ 1\oplus \phi_ 2\) of homomorphisms \(\phi_ i: J_ 0\to J_ i\) such ...
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On Interval‐Valued Fuzzy e‐Continuous Mappings
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we aim to explore the concept of interval‐valued fuzzy e‐continuous (IVF e‐continuous) mappings. We will delve into the theoretical framework of interval‐valued fuzzy sets and e‐continuous (IVF e‐continuous) mappings and then proceed to discuss some examples related to IVF e‐continuous.
Wadei F. Al-Omeri, Fernando Bobillo
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Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras
Journal of Inequalities and Applications, 2005 We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias stability of a Jordan homomorphism between ...
Hirasawa Go +2 more
doaj
Minimal projective varieties satisfying Miyaoka's equality
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai +2 more
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Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
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JORDAN $\epsilon$-HOMOMORPHISMS AND JORDAN $\epsilon$-DERIVATIONS
Taiwanese Journal of Mathematics, 2005 Herstein’s theorems on Jordan homomorphisms and Jordan derivations on prime associative algebras are extended to graded prime associative algebras.
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