Results 21 to 30 of about 143,594 (316)
Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
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The classification of three-dimensional Lie algebras on complex field
In this paper, we study the classification of three-dimensional Lie algebras over a field of complex numbers up to isomorphism. The proposed classification is based on the consideration of objects invariant with respect to isomorphism, namely such ...
E.R. Shamardina
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The Structure of Local Rings with Singleton Basis and Their Enumeration
A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t.
Yousef Alkhamees, Sami Alabiad
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The Isomorphism Problem on Classes of Automatic Structures [PDF]
Automatic structures are finitely presented structures where the universe and all relations can be recognized by finite automata. It is known that the isomorphism problem for automatic structures is complete for $Σ^1_1$; the first existential level of the analytical hierarchy.
Dietrich Kuske +2 more
openaire +2 more sources
Generation of colored graphs with isomorphism rejection [PDF]
In the article we consider graphs whose vertices or edges are colored in a given number of colors — vertex and edge colorings. The study of colorings of graphs began in the middle of the 19th century, but the main attention is paid to proper ...
Razumovsky, Peter Vladimirovich +1 more
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Towards an Isomorphism Dichotomy for Hereditary Graph Classes [PDF]
In this paper we resolve the complexity of the isomorphism problem on all but finitely many of the graph classes characterized by two forbidden induced subgraphs.
Schweitzer, Pascal
core +3 more sources
Isomorphism classes of idempotent evolution algebras
We showed that isomorphism classes of idempotent evolution algebras are in bijection with the orbits of the semidirect product group of the symmetric group and the torus, considered the combinatoric problem of enumeration of isomorphism classes for these algebras over arbitrary finite fields, derived a general counting formula, and obtained explicit ...
Yangjiang Wei, Yi Ming Zou
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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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Isomorphism Classes of A-Hypergeometric Systems [PDF]
Given a finite set A of integral vectors and a parameter vector, Gel'fand, Kapranov, and Zelevinskii defined a system of differential equations, called an A - hypergeometric (or a GKZ ...
openaire +3 more sources
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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