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Deciding the isomorphism problem in classes of unary automatic structures [PDF]

Theoretical Computer Science, 2011
We solve the isomorphism problem for certain classes of unary automatic structures: unary automatic equivalence relations, unary automatic linear orders, and unary automatic trees. That is, we provide algorithms which decide whether two given elements of
Jiamou Liu
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ON ISOMORPHISM CLASSES OF COMPUTABLY ENUMERABLE EQUIVALENCE RELATIONS

The Journal of Symbolic Logic, 2019
AbstractWe examine how degrees of computably enumerable equivalence relations (ceers) under computable reduction break down into isomorphism classes. Two ceers are isomorphic if there is a computable permutation of ω which reduces one to the other. As a method of focusing on nontrivial differences in isomorphism classes, we give special attention to ...
Uri Andrews, Serikzhan A. Badaev
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On a class of generated triangular norms and their isomorphisms

Fuzzy Sets and Systems, 2010
Let \(f_1\) and \(f_2\) be two strictly decreasing additive generators of border-continuous triangular norms \(T_1\) and \(T_2\), respectively. Necessary and sufficient conditions on \(f_1,f_2\) are given in order to ensure that the semigroups \(([0,1],T_1)\) and \(([0,1],T_2)\) are isomorphic. The conditions are expressed in terms of the ranges of the
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The isomorphism class of a set of lattices

Mathematical Proceedings of the Cambridge Philosophical Society, 1989
AbstractLet R be a Dedekind domain with field of quotients K. Let A be a finite-dimensional K-algebra. We consider isomorphism classes and genera in a category whose objects are indexed sets of full R-lattices in some ambient A-module and whose morphisms are the A-homomorphisms of the ambient A-modules which map each lattice into its corresponding ...
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Isomorphism classes in finite partial hypergroupoids of class two

1996
Let \(H\) be a set with \(n\) elements and \(\circ\colon H\times H\to{\mathcal P}(H)\) be a partial hyperoperation on \(H\). If the set \(\{(a,b)\in H^2\mid a\circ b\neq\emptyset\}\) has \(k\) elements, where \(k\in\{0,1,\dots,n^2\}\), then the partial hypergroupoid \((H,\circ)\) is said to be of class \(k\).
DE SALVO, Mario, LO FARO, Giovanni
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On the Isomorphism of Sobolev-Type Classes on Metric Spaces

Siberian Mathematical Journal, 2021
A S Romanov
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Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2

Science in China Series A: Mathematics, 2006
Yingpu Deng, Mulan Liu
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On the isomorphism classes of Legendre elliptic curves over finite fields

Science China Mathematics, 2011
Rongquan Feng
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Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras

Linear and Multilinear Algebra, 2015
S K Said Husain
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k-Isomorphism classes of local field extensions

Journal of Number Theory, 2015
Kevin Keating
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