research overview
- Dr. Szendrei's research interests include the structure theory of finite algebras, commutator theory, classification results using clone theory, and applications of these techniques and results to problems in computer science.
- Contact Info
Szendrei, Agnes
Positions
- Professor Emerita/Emeritus, Mathematics
Research Areas
Research
keywords
- structure theory, commutator theory, clone theory, algebra algorithms
Publications
selected publications
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book
- Clones in universal algebra. Ed. 99. 1986
- Lectures in universal algebra. Ed. 43. 1986
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chapter
- Partial orders induced by quasilinear clones. 51-83. 2012
- A survey of clones closed under conjugation. 297-343. 2004
- Modules in general algebra. 41-53. 1998
- A survey on strictly simple algebras and minimal varieties. 209-239. 1992
- Symmetric algebras. 259-280. 1988
- Locally para-primal algebras. 367-399. 1987
- Demi-primal algebras with a single operation. 509-531. 1986
- Unary polynomials in algebras. II. 273-290. 1983
- On the idempotent reducts of modules. I, II. 753-780. 1982
- Algebras with doubly transitive automorphism groups. 521-535. 1981
- Clones of linear operations on finite sets. 693-738. 1981
- On weakly commuting operations. 373-380. 1979
- On affine modules. 457-Vol. 17. 1977
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conference proceeding
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Rosenberg-Type Completeness Criteria for Subclones of Slupecki's Clone.
Proceedings of the International Symposium on Multiple Valued Logic.
349-354.
2012
- A COMPLETENESS CRITERION FOR SEMI-AFFINE ALGEBRAS. 314-319. 1992
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Rosenberg-Type Completeness Criteria for Subclones of Slupecki's Clone.
Proceedings of the International Symposium on Multiple Valued Logic.
349-354.
2012
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journal article
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Random models of idempotent linear Maltsev conditions. I. Idemprimality.
Algebra Universalis.
2020
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Is supernilpotence super nilpotence?.
Algebra Universalis.
2020
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Commutative Rings Whose Principal Ideals Have Unique Generators.
Springer Proceedings in Mathematics and Statistics.
1-9.
2020
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THE SUBPOWER MEMBERSHIP PROBLEM FOR FINITE ALGEBRAS WITH CUBE TERMS.
Logical Methods in Computer Science.
2019
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Varieties whose finitely generated members are free.
Algebra Universalis.
2018
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Cube term blockers without finiteness.
Algebra Universalis.
437-459.
2017
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Simpler Maltsev conditions for (weak) difference terms in locally finite varieties.
Algebra Universalis.
555-561.
2017
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Dualizable algebras with parallelogram terms.
Algebra Universalis.
497-539.
2016
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Growth rates of algebras, III: finite solvable algebras.
Algebra Universalis.
199-222.
2016
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GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS.
Journal of the Australian Mathematical Society.
56-94.
2016
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A FINITE BASIS THEOREM FOR DIFFERENCE-TERM VARIETIES WITH A FINITE RESIDUAL BOUND.
Transactions of the American Mathematical Society.
2115-2143.
2016
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Growth rates of algebras, II: Wiegold dichotomy.
International Journal of Algebra and Computation.
555-566.
2015
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Commuting Polynomial Operations of Distributive Lattices.
Order.
245-269.
2012
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The 3rd International Conference on Boolean Algebra, Lattice Theory, Universal Algebra, Set Theory and Set-theoretical Topology-BLAST 2010.
Order.
229-230.
2012
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An easy test for congruence modularity.
Algebra Universalis.
375-392.
2012
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CLONES OF ALGEBRAS WITH PARALLELOGRAM TERMS.
International Journal of Algebra and Computation.
2012
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Clones with finitely many relative R-classes.
Algebra Universalis.
109-159.
2011
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The submaximal clones on the three-element set with finitely many relative R-classes.
Discussiones Mathematicae - General Algebra and Applications.
7-7.
2010
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Equivalence of operations with respect to discriminator clones.
Discrete Mathematics.
673-685.
2009
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Clones of 2-step nilpotent groups.
Algebra Universalis.
491-512.
2008
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Clones closed under conjugation I: Clones with constants.
International Journal of Algebra and Computation.
7-58.
2008
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Clones of finite groups.
Algebra Universalis.
23-52.
2005
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Groups with identical subgroup lattices in all powers.
Journal of Group Theory.
385-402.
2004
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Chief factor sizes in finitely generated varieties.
Canadian Journal of Mathematics.
736-756.
2002
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Generating singular transformations.
Semigroup Forum.
441-448.
2001
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Collapsing permutation groups.
Algebra Universalis.
35-51.
2001
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The join of two minimal clones and the meet of two maximal clones.
Algebra Universalis.
161-178.
2001
- The classification of commutative minimal clones. Discussiones Mathematicae Algebra and Stochastic Methods. 147-178. 1999
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The residual character of varieties generated by strictly simple term minimal algebras.
Algebra Universalis.
269-288.
1999
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The relationship between two commutators.
International Journal of Algebra and Computation.
497-531.
1998
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Projectivity and isomorphism of strictly simple algebras.
Algebra Universalis.
45-56.
1998
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Self-rectangulating varieties of type 5.
International Journal of Algebra and Computation.
511-540.
1997
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A characterization of minimal locally finite varieties.
Transactions of the American Mathematical Society.
1749-1768.
1997
- Nearly-idempotent plain algebras are indeed nearly idempotent plain algebras. Mathematica Slovaca. 391-403. 1996
- Expansions of minimal varieties. Acta Scientiarum Mathematicarum. 659-679. 1995
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MAXIMAL NON-AFFINE REDUCTS OF SIMPLE AFFINE ALGEBRAS.
Algebra Universalis.
144-174.
1995
- Strongly abelian minimal varieties. Acta Scientiarum Mathematicarum. 25-42. 1994
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TERM MINIMAL ALGEBRAS.
Algebra Universalis.
439-477.
1994
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THE SET OF TYPES OF A FINITELY GENERATED VARIETY.
Discrete Mathematics.
1-20.
1993
- Non-finitely based finite groupoids generating minimal varieties. Acta Scientiarum Mathematicarum. 593-600. 1993
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SIMPLE ABELIAN ALGEBRAS.
Journal of Algebra.
408-424.
1992
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THE PRIMAL ALGEBRA CHARACTERIZATION THEOREM REVISITED.
Algebra Universalis.
41-60.
1992
- A classification of strictly simple algebras with trivial subalgebras. Demonstratio Mathematica. 149-173. 1991
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SIMPLE SURJECTIVE ALGEBRAS HAVING NO PROPER SUBALGEBRAS.
Journal- Australian Mathematical Society Series a.
434-454.
1990
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LYNDON GROUPOID IS NOT INHERENTLY NONFINITELY BASED.
Algebra Universalis.
254-260.
1990
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EVERY IDEMPOTENT PLAIN ALGEBRA GENERATES A MINIMAL VARIETY.
Algebra Universalis.
36-39.
1988
- IDEMPOTENT ALGEBRAS WITH RESTRICTIONS ON SUBALGEBRAS. Acta Scientiarum Mathematicarum. 251-268. 1987
- SUBMAXIMAL CLONES WITH A PRIME-ORDER AUTOMORPHISM. Acta Scientiarum Mathematicarum. 29-48. 1985
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DEMI-PRIMAL ALGEBRAS.
Algebra Universalis.
117-128.
1984
- DEGREES OF CLONES AND RELATIONS. HOUSTON JOURNAL OF MATHEMATICS. 545-580. 1983
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SHORT MAXIMAL-CHAINS IN THE LATTICE OF CLONES OVER A FINITE-SET.
Mathematische Nachrichten.
43-58.
1983
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A new proof of the McKenzie-Gumm theorem.
Algebra Universalis.
144-144.
1982
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ALGEBRAS OF PRIME CARDINALITY WITH A CYCLIC AUTOMORPHISM.
Archiv der Mathematik.
417-427.
1982
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AUTOMORPHISM-GROUPS AND FUNCTIONAL COMPLETENESS.
Algebra Universalis.
385-400.
1982
- CORRECTION. Algebra Universalis. U143-U143. 1982
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A NEW PROOF OF THE MCKENZIE-GUMM THEOREM.
Algebra Universalis.
133-135.
1981
- Algebras with $p$-uniform principal congruences. Studia Scientiarum Mathematicarum Hungarica. 229-235. 1981
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IDENTITIES IN IDEMPOTENT AFFINE ALGEBRAS.
Algebra Universalis.
172-199.
1981
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IDENTITIES SATISFIED BY CONVEX LINEAR-FORMS.
Algebra Universalis.
103-122.
1981
- Independent basis for the identities of entropic groupoids. Commentationes Mathematicae Universitatis Carolinae. 71-85. 1981
- Sl upecki-type criteria for quasilinear functions over a finite-dimensional vector space. 601-611. 1981
- On closed classes of quasilinear functions. Czechoslovak Mathematical Journal. 498-509. 1980
- Remarks on a paper of L. Szabó and Á. Szendrei: “Almost all algebras with triply transitive automorphism groups are functionally complete” [Acta Sci. Math. (Szeged) bf 41 (1979), no. 3-4, 391–402; MR 81g:08006a]. Acta Scientiarum Mathematicarum. 95-98. 1980
- ALMOST ALL ALGEBRAS WITH TRIPLY TRANSITIVE AUTOMORPHISM-GROUPS ARE FUNCTIONALLY COMPLETE. Acta Scientiarum Mathematicarum. 391-402. 1979
- On closed sets of linear operations over a finite set of squarefree cardinality. 547-559. 1978
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On modules in which idempotent reducts form a chain.
Colloquium Mathematicum.
191-196.
1978
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On the arity of affine modules.
Colloquium Mathematicum.
1-4.
1977
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TORSION THEORIES IN AFFINE CATEGORIES.
Acta Mathematica Hungarica.
351-369.
1977
- IDEMPOTENT REDUCTS OF ABELIAN-GROUPS. Acta Scientiarum Mathematicarum. 171-182. 1976
- The operation ISKP on classes of algebras. Algebra Universalis. 349-353. 1976
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Random models of idempotent linear Maltsev conditions. I. Idemprimality.
Algebra Universalis.
2020
Background
education and training
- D.Sc., Hungarian Academy of Sciences (Hungary) 1993
- Ph.D., Hungarian Academy of Sciences (Hungary) 1982