Computational complexity of some problems involving congruences on algebras (original) (raw)

The complexity of the Chinese Remainder Theorem

Gonzalo Zigaran

arXiv (Cornell University), 2023

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Complexity of certain decision problems about congruential languages

Paliath Narendran

Journal of Computer and System Sciences, 1985

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The Chinese Remainder Theorem, Associative Algebras, and Multiplicative Complexity

Glenn Zelniker

1990 Conference Record Twenty-Fourth Asilomar Conference on Signals, Systems and Computers, 1990.

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George McNulty

International Journal of Algebra and Computation, 2008

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The Algorithmic Complexity of Modular Decomposition

Jan C Bioch

Social Science Research Network, 2001

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Efficient Algorithms for Finite mathbbZ\mathbb{Z}mathbbZ-Algebras

Martin Kreuzer

Groups, complexity, cryptology, 2024

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The lattice of congruence lattices of algebras on a finite set

Danica Jakubíková-studenovská

Algebra universalis

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Some Complexity Results for Polynomial Ideals

Ernst W Mayr

Journal of Complexity, 1997

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Computational Recognition of Properties of Finite Algebras

George McNulty

2008

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Quotient complexity of ideal languages

Galina Jiraskova

Theoretical Computer Science, 2013

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On the intrinsic complexity of the arithmetic Nullstellensatz

Luis M Pardo

Journal of Pure and Applied Algebra, 2000

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Weak Congruences of Algebras with CONSTANTS1

G. Eigenthaler

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On the Complexity of Generalized Discrete Logarithm Problem

rasit topaloglu

arXiv (Cornell University), 2022

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The membership problem for unmixed polynomial ideals is solvable in single exponential time

J. Heintz

1991

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Reduced sub-powers and the decision problem for finite algebras in arithmetical varieties

Paweł Idziak

Algebra Universalis, 1988

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Definable principal congruences and solvability

Emil Kiss, Paweł Idziak

Annals of Pure and Applied Logic, 2009

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ALGORITHMICALLY INSOLUBLE PROBLEMS ABOUT FINITELY PRESENTED SOLVABLE GROUPS, LIE AND ASSOCIATIVE ALGEBRAS, III

Ralph Strebel

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Definability of principal congruences in equivalential algebras

Paweł Idziak

Colloquium Mathematicum

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Algorithms for Commutative Algebras Over the Rational Numbers

Hendrik Lenstra

Foundations of Computational Mathematics, 2016

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The Complexity of Modular Graph Automorphism

Richard Beigel

SIAM Journal on Computing, 2000

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Algorithms for arithmetic groups with the congruence subgroup property

Dane Flannery

Journal of Algebra, 2015

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Abstracts from the 20th Conference on Applications of Computer Algebra, ACA 2014

Robert H Lewis

2014

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On the reduction in multiplicative complexity achieved by the polynomial residue number system

Glenn Zelniker

IEEE Transactions on Signal Processing, 1992

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Fast congruence closure and extensions

Robert Nieuwenhuis

Information and Computation, 2007

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A Characterization of Finitely Decidable Congruence Modular Varieties

Paweł Idziak

1993

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Fully invariant and verbal congruence relations

Clifford Bergman

Algebra universalis, 2013

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Complexity of Some Problems Concerning Varieties and Quasi-Varieties of Algebras

Clifford Bergman, Giora Slutzki

SIAM Journal on Computing, 2000

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On Randomized Algebraic Test Complexity

Peter Buergisser

1992

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The Discrete Logarithm Problem over Prime Fields can be transformed to a Linear Multivariable Chinese Remainder Theorem

Gopalakrishna Gadiyar

ArXiv, 2016

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Complexity of computation in finite fields

Sergey Gashkov

Journal of Mathematical Sciences, 2013

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On congruence lattices of finite partial unary algebras

Danica Jakubíková-studenovská

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Complexity of the identity checking problem for finite semigroups

Mikhail Volkov, Jorge Almeida

Journal of Mathematical Sciences, 2009

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Computational Recognition of Properities of Finite Algebras

George McNulty

2003

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Congruence Preservation, Lattices and Recognizability

irene guessarian

Cornell University - arXiv, 2020

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On the Finitary Characterization of-Congruences

Paola Quaglia

1997

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