Results 51 to 60 of about 6,951 (120)
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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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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Homomorphisms of Jordan Rings of Self-Adjoint Elements [PDF]
Transactions of the American Mathematical Society, 1952 In a previous paper [4](1) we have defined a special Jordan ring to be a a subset of an associative ring which is a subgroup of the additive group and which is closed under the compositions a→a 2and (a, b)→aba. Such systems are also closed under the compositions (a, b) → ab+ba= {a, b} and (a, b, c) → abc+cba.
Jacobson, Nathan, Rickart, C. E.
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A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
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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
A remark on $n-$Jordan homomorphisms
, 2020 Let $A$ and $B$ be commutative algebras and $n\geqslant 2$ an integer. Then each $n-$ Jordan homomorphism $h:A\rightarrow B$ is an $n-$homomorphism.
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On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
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