Results 21 to 30 of about 228,875 (264)
A hierarchy of maximal intersecting triple systems [PDF]
We reach beyond the celebrated theorems of Erdȍs-Ko-Rado and Hilton-Milner, and a recent theorem of Han-Kohayakawa, and determine all maximal intersecting triples systems.
Joanna Polcyn, Andrzej Ruciński
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Central Extensions and Nijenhuis Operators of Hom-δ-Jordan Lie Triple Systems
In this paper, the equivalence of central extensions and Hα,αV3T,V is proven in the study in Hom-δ-Jordan Lie triple systems. The concepts of Nijenhuis operators of Hom-δ-Jordan Lie triple systems are given. Moreover, a trivial deformation is got.
Qiang Li, Lili Ma
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Hereditary Properties of Triple Systems [PDF]
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Yoshiharu Kohayakawa +2 more
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Almost all Steiner triple systems are almost resolvable
We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost all Steiner triple systems are almost resolvable).
Asaf Ferber, Matthew Kwan
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Triple metamorphosis of twofold triple systems
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Charles C. Lindner +2 more
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On split Lie color triple systems
In order to begin an approach to the structure of arbitrary Lie color triple systems, (with no restrictions neither on the dimension nor on the base field), we introduce the class of split Lie color triple systems as the natural generalization of split ...
Cao Yan, Zhang Jian, Cui Yunan
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Similar to Weyl fermions, a recently discovered topological fermion ‘triple point’ can be generated from the splitting of Dirac fermion in the systems with inversion symmetry (IS) breaking or time-reversal symmetry (TRS) breaking.
Chi-Ho Cheung +5 more
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We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras; this algorithm is a concrete realization of the white Manin product introduced by Vallette by the permutad Perm introduced by Chapoton.
Bremner, Murray R. +1 more
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AbstractDirected triple systems are an example of block designs on directed graphs. A block design on a directed graph can be defined as follows. Let G be a directed graph of k vertices which contain no loops. Let S be a set of υ elements. A collection of k-subsets of S with an assignment of the elements of each k-subset to the vertices of G is called ...
Stephen H. Y. Hung, N. S. Mendelsohn
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We define Hermitian (ϵ,δ)-Freudenthal-Kantor triple systems and prove a structure theorem. We also give some examples of triple systems that are generalizations of the u(N)⊕u(M) and sp(2N)⊕u(1) Hermitian 3-algebras. We apply a *-generalized Jordan triple
Noriaki Kamiya, Matsuo Sato
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