Varieties with decidable finite algebras I: Linearity (original) (raw)

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

Paweł Idziak

Algebra Universalis, 1988

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A Characterization of Finitely Decidable Congruence Modular Varieties

Paweł Idziak

1993

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Strong solvability and residual finiteness for finitely decidable varieties

Ralph McKenzie

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An extension of Willard?s Finite Basis Theorem: Congruence meet-semidistributive varieties of finite critical depth

George McNulty

algebra universalis, 2005

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Congruence quasi-orderability in subtractive varieties

Paolo Agliano

Journal of the Australian Mathematical Society, 2001

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On the structure of varieties with equationally definable principal congruences III

D. Pigozzi

Algebra Universalis, 1994

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Axiomatizable and nonaxiomatizable congruence prevarieties

James Nation

Algebra universalis, 2008

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Fregean subtractive varieties with definable congruence

Paolo Agliano

Journal of the Australian Mathematical Society, 2001

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Congruence meet-semidistributive locally finite varieties and a finite basis theorem

George McNulty

Algebra universalis

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On decidable algebraic fields

Alexandra Shlapentokh

2015

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Congruence distributive quasivarieties whose finitely subdirectly irreducible members form a universal class

Janusz Czelakowski

Algebra Universalis, 1990

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A property of the solvable radical in flnitely decidable varieties

Paweł Idziak

1992

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Finite Basis Theorems for Relatively Congruence-Distributive Quasivarieties

D. Pigozzi

Transactions of the American Mathematical Society, 1988

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Finite Arithmetics

Konrad Zdanowski, Marcin Mostowski

Fundamenta Informaticae

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Decidability of the class of all the rings : A problem of Ax

Jamshid Derakhshan

Forum of Mathematics, Sigma

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Congruence intersection properties for varieties of algebras

Paolo Agliano

Journal of the Australian Mathematical Society, 1999

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Definability of principal congruences in equivalential algebras

Paweł Idziak

Colloquium Mathematicum

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The amalgamation class of a discriminator variety is finitely axiomatizable

Clifford Bergman

Lecture Notes in Mathematics, 1983

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Arithmetic of divisibility in finite models

Anna W., Marcin Mostowski

MLQ, 2004

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On the Universal Theory of Varieties of Distributive Lattices with Operators: Some Decidability and Complexity Results

Viorica Sofronie-Stokkermans

Lecture Notes in Computer Science, 1999

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Residual smallness relativized to congruence types, I

Ralph McKenzie

Journal of Pure and Applied Algebra, 2001

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Definable principal congruences and solvability

Emil Kiss, Paweł Idziak

Annals of Pure and Applied Logic, 2009

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Minimal varieties and quasivarieties

Clifford Bergman

Journal of the Australian Mathematical Society, 1990

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Decidability and structure

Paweł Idziak

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Computational Recognition of Properties of Finite Algebras

George McNulty

2008

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Theories of arithmetics in finite models

Konrad Zdanowski

The Journal of Symbolic Logic, 2005

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Non-finite-axiomatizability results in algebraic logic

Balazs Biro

Journal of Symbolic Logic, 1992

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Reducibility orderings: Theories, definability and automorphisms

Anil Nerode, Richard Shore

Annals of Mathematical Logic, 1980

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AN ALTERNATE ROUTE TO WILLARD'S FINITE BASIS THEOREM

George McNulty

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Finitely generated equational classes

Peter Mayr, Erhard Aichinger

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Degrees of insolubility of extensions of arithmetic by true propositions

Oleg Okunev

Russian Mathematical Surveys, 1988

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Deductive Varieties of Modules and Universal Algebras

Clifford Bergman

Transactions of the American Mathematical Society, 1985

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Computational Recognition of Properities of Finite Algebras

George McNulty

2003

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Undecidable Varieties of Semilattice—ordered Semigroups, of Boolean Algebras with Operators, and logics extending Lambek Calculus

Ildikó Sain

Logic Journal of IGPL, 1993

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Decidability and Complexity of Finitely Closable Linear Equational Theories

Barbara Morawska

Lecture Notes in Computer Science, 2001

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