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International Conference on Modern Algebra in conjunction with the 17th annual Shanks Lectures
May 21-24, 2002
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph Freese, Matthew Gould, Peter Jipsen, George McNulty, Miklos Maroti, Alexander Ol'shanskii, Steven Tschantz, Constantine Tsinakis, Matthew Valeriote

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Abstracts

This is an archive of abstracts accepted to this conference. For more listing and sorting options, see the active list.

Universal Algebra and Model Theory

Clifford Bergman Computational Complexity of Problems in Universal Algebra
Ferdinand Boerner Quasiprimitive groups and congruence lattices of finite algebras
Andrei Bulatov Algebraic methods in the Constraint Satisfaction Problem
Stanley Burris The Saga of the High School Identities
David M. Clark Standard Topological Algebras and Syntactic Congruences
Brian Davey "Natural Dualities for the Working Algebraist", second edition, Cambridge University Press, 2002.
Dejan Delic Decidability of discriminator varieties with group stalks
Klaus Denecke Term-valuated Equational Theory
Bradd Hart The spectrum function and varieties
Jennifer Hyndman How finite is a three-element unary algebra?
Pawel M. Idziak Generative complexity in algebra
Peter Jeavons Constraints, Complexity, and Polymorphisms
Jaroslav Jezek Quasiequational theories of flat algebras
Kalle Kaarli On categorical equivalence of finite arithmetical algebras
Alexei Kanel-Belov Specht type problems and related questions.
Y. Katsov Flatness of Semimodules over Semirings
Keith A. Kearnes Tame Congruences: Theory and Application
Andrzej Kisielewicz Universal Algebra, Permutation Groups, and Supergraphs
Arthur Knoebel Separator Algebras
Chris Laskowski The decidability of ordinal sums
Richard Laver Very large cardinals
Petar Markovic Free Spectra
Miklós Maróti The variety generated by tournaments
Ralph McKenzie Locally Finite Varieties
George F. McNulty Which Finite Algebras are Finitely Based?
Szabolcs Mikulas Axiomatizability of algebras of binary relations
Jaroslav Nesetril Order for finite models (Duality and Extrema)
Alexander Pinus Elementary equivalence of free algebras of varieties
Reinhard Pöschel A Galois connection between operations and relations and an application to Tame Congruence Theory
Luís Sequeira Is Modularity prime?
John W. Snow Representing finite lattices as congruence lattices of finite algebras
Olga Sokratova On the congruence problem for polynomial semirings over natural numbers
David Stanovský Left symmetric left distributive groupoids
Csaba Szabó Monotone retracts and NUF in finite posets
Ágnes Szendrei Clones and Groups
Walter Taylor Some aspects of the interpretability lattice
Andreja Tepavcevic Weak Congruences in Universal Algebra
Matt Valeriote Residually Small Locally Finite Varieties
Benjamin Wells Varieties with a property that is not uniform
Rudolf Wille Restructuring General Algebra: An Approach Based on the Idea of Operational Descriptions

Groups, Semigroups and Rings

V. A. Artamonov General quantum polynomials
Alexandre Borovik Nondeterministic Methods in Group Theory
Lisa Carbone The tree lattice existence theorems
Simon M. Goberstein Correspondences and Partial Automorphisms of Regular Semigroups
Sergei Ivanov On the asphericity of LOT-presentations of groups
Peter R Jones The lattice of convex subsemilattices of a semilattice
Alexei Kanel-Belov A constructing of finitely presented semigroups whith some exotic properties.
Ilya Kapovich Generic-case complexity of algorithmic problem in group theory
Bilal Khan The Automorphism Graph of the Free Group of Rank 2
Olga Kharlampovich Algorithmic problems in fully residually free groups
Janusz Konieczny Factorizable Submonoids of the Symmetric Inverse Monoid
Alexei Krasilnikov Some Varieties of Groups Closed to Being Just Non-Finitely Based
Arturo Magidin Amalgams and dominions for nilpotent groups of class two
John Meakin Equations in Free Inverse Monoids
Arun S. Muktibodh Halfsubgroups
Alexei Myasnikov On elementary theories of free groups
Luís Oliveira Existence varieties of locally inverse semigroups vs varieties of pseudosemilattices
Péter P. Pálfy Groups of finite Abelian width
Francis J. Pastijn Polyhedral convex cones and the equational theory of the bicyclic semigroup
Boris Plotkin Some problems in non-classical (universal) algebraic geometry
Vladimir Remeslennikov Algebraic geometry over groups: Logical Foundation.
Denis Serbin Infinite words and length functions on groups
Lev Shneerson On the type of growth of semigroups
Agata Smoktunowicz Remarks on primitivity of polynomial rings
Benjamin Steinberg Undecidability in extending partial permutations
Alina Vdovina Products of commutators in free groups and alternating knots of given genus
Mikhail Volkov Semigroup varieties and quasivarieties from complexity-theoretical viewpoint
Pavel Zalesskii Profinite Topologies on Free Products of Groups
Efim Zelmanov Infinite Dimensional Algebras
Efim Zelmanov Profinite Groups

Lattice Theory and Ordered Structures

M.E. Adams Quasivarieties of idempotent semigroups
Kira Adaricheva Lattices of algebraic subsets
C. J. van Alten Representable Integral Residuated Lattices
Mohamed El Bachraoui Relation algebras and multigroupoids
Richard N. Ball Forbidden Forests in Priestley Spaces
W. J. Blok Residuated Ordered Structures in Logic and Algebra
Ralph Freese The role of bounded homomorphisms in lattice theory
Nikolaos Galatos Continuum many idempotent minimal residuated-lattice varieties
Steven Givant Inequivalent representations of geometric relation algebras
A.M.W. Glass Embedding finitely generated Abelian lattice-ordered groups: Higman's Theorem and a realisation of \pi
George Gratzer Finite lattices and congruences: The good, the bad, and the ugly
Christian Herrmann Equational theory of regular rings with involution and complemented modular polarity lattices
Bjarni Jonsson Boolean products and canonical extensions of bounded distributive lattice expansions
Bakhadyr M. Khoussainov Computable Isomorphisms of Boolean Algebras with Operators
Tomasz Kowalski Commutative bounded integral residuated lattices
Jingjing Ma Finite-dimensional algebras that do not admit a lattice order
Roger D. Maddux Nonrepresentable relation algebras generated by functional elements
Don Monk Cardinal functions on Boolean algebras
Daniele Mundici MV-algebras: a variety for magnitudes with archimedean elements
Hideo Nagahashi A Sahlqvist Theorem for Distributive Modal Logics
J. B. Nation Sublattices of lattices
Anvar Nurakunov On characterized varieties and quasivarieties of lattices
Hilary Priestley Duality theory for lattice-ordered algebras: the present, the past, and the future
R. H. Redfield Lattice-ordered fields of quotients
Branimir Seselja On a representation of posets by subsets
Friedrich Wehrung Sublattices of lattices of convex sets


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