Results 31 to 40 of about 1,288,795 (193)
Formulas and Properties, Their Links and Characteristics
In this work, we study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types.
Sergey V. Sudoplatov
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The diameter of the isomorphism class of a Banach space [PDF]
We prove that if X is a separable infinite dimensional Banach space then its isomorphism class has infinite diameter with respect to the Banach-Mazur distance. One step in the proof is to show that if X is elastic then X contains an isomorph of c_0. We call X elastic if for some K < infinity for every Banach space Y which embeds into X, the space Y ...
Johnson, W. B., Odell, E.
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Isomorphism classes of Drinfeld modules over finite fields [PDF]
We study isogeny classes of Drinfeld $A$-modules over finite fields $k$ with commutative endomorphism algebra $D$, in order to describe the isomorphism classes in a fixed isogeny class.
Katen, Jeffrey +2 more
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Automorphism Properties and Classification of Adinkras
Adinkras are graphical tools for studying off-shell representations of supersymmetry. In this paper we efficiently classify the automorphism groups of Adinkras relative to a set of local parameters.
B. L. Douglas +3 more
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Set L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized.
Xue Chen
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Modular representations of Loewy length two
Let G be a finite p-group, K a field of characteristic p, and J the radical of the group algebra K[G]. We study modular representations using some new results of the theory of extensions of modules.
M. E. Charkani, S. Bouhamidi
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Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras [PDF]
We endow the set of isomorphism classes of matroids with a new Hopf algebra structure, in which the coproduct is implemented via the combinatorial operations of restriction and deletion.
Nguyen Hoang-Nghia +2 more
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On isomorphism classes of generalized Fibonacci cubes
The generalized Fibonacci cube $Q_d(f)$ is the subgraph of the $d$-cube $Q_d$ induced on the set of all strings of length $d$ that do not contain $f$ as a substring. It is proved that if $Q_d(f) \cong Q_d(f')$ then $|f|=|f'|$. The key tool to prove this result is a result of Guibas and Odlyzko about the autocorrelation polynomial associated to a binary
Jernej Azarija +4 more
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NPA Hierarchy for Quantum Isomorphism and Homomorphism Indistinguishability [PDF]
Mančinska and Roberson [FOCS'20] showed that two graphs are quantum isomorphic if and only if they admit the same number of homomorphisms from any planar graph. Atserias et al.
Prem Nigam Kar +3 more
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Automatic Structures: Richness and Limitations [PDF]
We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a regular set of words, and the interpretation of the relations by ...
Bakhadyr Khoussainov +3 more
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