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Author ID: lehtonen.erkko Recent zbMATH articles by "Lehtonen, Erkko"
Published as: Lehtonen, Erkko
External Links: MGP
Documents Indexed: 56 Publications since 2005
Co-Authors: 23 Co-Authors with 44 Joint Publications
447 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 150 times in 82 Documents Cited by Year
Descending chains and antichains of the unary, linear, and monotone subfunction relations. Zbl 1124.08002
Lehtonen, Erkko
16
2006
Galois theory for sets of operations closed under permutation, cylindrification, and composition. Zbl 1257.08002
Couceiro, Miguel; Lehtonen, Erkko
13
2012
Generalizations of Świerczkowski’s lemma and the arity gap of finite functions. Zbl 1200.08001
Couceiro, Miguel; Lehtonen, Erkko
12
2009
Equivalence of operations with respect to discriminator clones. Zbl 1168.08003
Lehtonen, Erkko; Szendrei, Ágnes
8
2009
Composition of Post classes and normal forms of Boolean functions. Zbl 1110.06017
Couceiro, Miguel; Foldes, Stephan; Lehtonen, Erkko
8
2006
On the effect of variable identification on the essential arity of functions on finite sets. Zbl 1202.08001
Couceiro, Miguel; Lehtonen, Erkko
8
2007
Labeled posets are universal. Zbl 1133.06003
Lehtonen, Erkko
8
2008
Associative string functions. Zbl 1322.20053
Lehtonen, Erkko; Marichal, Jean-Luc; Teheux, Bruno
7
2014
On the homomorphism order of labeled posets. Zbl 1231.06001
Kwuida, Léonard; Lehtonen, Erkko
5
2011
Decompositions of functions based on arity gap. Zbl 1230.08001
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
5
2012
Permutation groups, pattern involvement, and Galois connections. Zbl 1399.20001
Lehtonen, Erkko; Pöschel, Reinhard
5
2017
Totally symmetric functions are reconstructible from identification minors. Zbl 1297.08002
Lehtonen, Erkko
5
2014
Reconstructing multisets over commutative groupoids and affine functions over nonassociative semirings. Zbl 1286.05185
Lehtonen, Erkko
4
2014
Closed classes of functions, generalized constraints, and clusters. Zbl 1220.08002
Lehtonen, Erkko
4
2010
Hypomorphic Sperner systems and non-reconstructible functions. Zbl 1372.06002
Couceiro, Miguel; Lehtonen, Erkko; Schölzel, Karsten
3
2015
Self-commuting lattice polynomial functions on chains. Zbl 1226.39008
Couceiro, Miguel; Lehtonen, Erkko
3
2011
The arity gap of order-preserving functions and extensions of pseudo-Boolean functions. Zbl 1246.06005
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
3
2012
A survey on the arity gap. Zbl 1393.08006
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
3
2015
A complete classification of equational classes of threshold functions included in clones. Zbl 1330.06009
Couceiro, Miguel; Lehtonen, Erkko; Schölzel, Karsten
2
2015
Set-reconstructibility of Post classes. Zbl 1315.05092
Couceiro, Miguel; Lehtonen, Erkko; Schölzel, Karsten
2
2015
An infinite descending chain of Boolean subfunctions consisting of threshold functions. Zbl 1111.06008
Lehtonen, Erkko
2
2006
Commuting polynomial operations of distributive lattices. Zbl 1257.08001
Behrisch, Mike; Couceiro, Miguel; Kearnes, Keith A.; Lehtonen, Erkko; Szendrei, Ágnes
2
2012
Parametrized arity gap. Zbl 1284.08006
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
2
2013
Partial orders induced by quasilinear clones. Zbl 1284.08008
Lehtonen, Erkko; Szendrei, Ágnes
2
2012
Generalized entropy in expanded semigroups and in algebras with neutral element. Zbl 1304.08001
Lehtonen, Erkko; Pilitowska, Agata
2
2014
On associative operations on commutative integral domains. Zbl 07203157
Lehtonen, Erkko; Starke, Florian
2
2020
Associative spectra of graph algebras. I: Foundations, undirected graphs, antiassociative graphs. Zbl 1467.05114
Lehtonen, Erkko; Waldhauser, Tamás
1
2021
Clones with finitely many relative \({\mathcal R}\)-classes. Zbl 1217.08002
Lehtonen, Erkko; Szendrei, Ágnes
1
2011
Reconstructing permutations from identification minors. Zbl 1323.05009
Lehtonen, Erkko
1
2015
Entropicity and generalized entropic property in idempotent \(n\)-semigroups. Zbl 1336.20063
Lehtonen, Erkko; Pilitowska, Agata
1
2015
On functions with a unique identification minor. Zbl 1350.08003
Lehtonen, Erkko
1
2016
Minors of Boolean functions with respect to clique functions and hypergraph homomorphisms. Zbl 1204.06009
Lehtonen, Erkko; Nešetřil, Jaroslav
1
2010
A note on minors determined by clones of semilattices. Zbl 1265.08006
Lehtonen, Erkko
1
2010
Content and singletons bring unique identification minors. Zbl 1468.08002
Lehtonen, Erkko
1
2019
Reflection-closed varieties of multisorted algebras and minor identities. Zbl 1412.08003
Lehtonen, Erkko; Pöschel, Reinhard; Waldhauser, Tamás
1
2018
Reflections on and of minor-closed classes of multisorted operations. Zbl 1406.08002
Lehtonen, Erkko; Pöschel, Reinhard; Waldhauser, Tamás
1
2018
On equational definability of function classes. Zbl 1393.08005
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
1
2015
On the arity gap of finite functions: results and applications. Zbl 1394.08003
Couceiro, Miguel; Lehtonen, Erkko
1
2016
Minor posets of functions as quotients of partition lattices. Zbl 1477.06008
Lehtonen, Erkko; Waldhauser, Tamás
1
2019
On the efficiency of normal form systems for representing Boolean functions. Zbl 1481.06031
Couceiro, Miguel; Lehtonen, Erkko; Mercuriali, Pierre; Péchoux, Romain
1
2020
Associative spectra of graph algebras. I: Foundations, undirected graphs, antiassociative graphs. Zbl 1467.05114
Lehtonen, Erkko; Waldhauser, Tamás
1
2021
On associative operations on commutative integral domains. Zbl 07203157
Lehtonen, Erkko; Starke, Florian
2
2020
On the efficiency of normal form systems for representing Boolean functions. Zbl 1481.06031
Couceiro, Miguel; Lehtonen, Erkko; Mercuriali, Pierre; Péchoux, Romain
1
2020
Content and singletons bring unique identification minors. Zbl 1468.08002
Lehtonen, Erkko
1
2019
Minor posets of functions as quotients of partition lattices. Zbl 1477.06008
Lehtonen, Erkko; Waldhauser, Tamás
1
2019
Reflection-closed varieties of multisorted algebras and minor identities. Zbl 1412.08003
Lehtonen, Erkko; Pöschel, Reinhard; Waldhauser, Tamás
1
2018
Reflections on and of minor-closed classes of multisorted operations. Zbl 1406.08002
Lehtonen, Erkko; Pöschel, Reinhard; Waldhauser, Tamás
1
2018
Permutation groups, pattern involvement, and Galois connections. Zbl 1399.20001
Lehtonen, Erkko; Pöschel, Reinhard
5
2017
On functions with a unique identification minor. Zbl 1350.08003
Lehtonen, Erkko
1
2016
On the arity gap of finite functions: results and applications. Zbl 1394.08003
Couceiro, Miguel; Lehtonen, Erkko
1
2016
Hypomorphic Sperner systems and non-reconstructible functions. Zbl 1372.06002
Couceiro, Miguel; Lehtonen, Erkko; Schölzel, Karsten
3
2015
A survey on the arity gap. Zbl 1393.08006
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
3
2015
A complete classification of equational classes of threshold functions included in clones. Zbl 1330.06009
Couceiro, Miguel; Lehtonen, Erkko; Schölzel, Karsten
2
2015
Set-reconstructibility of Post classes. Zbl 1315.05092
Couceiro, Miguel; Lehtonen, Erkko; Schölzel, Karsten
2
2015
Reconstructing permutations from identification minors. Zbl 1323.05009
Lehtonen, Erkko
1
2015
Entropicity and generalized entropic property in idempotent \(n\)-semigroups. Zbl 1336.20063
Lehtonen, Erkko; Pilitowska, Agata
1
2015
On equational definability of function classes. Zbl 1393.08005
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
1
2015
Associative string functions. Zbl 1322.20053
Lehtonen, Erkko; Marichal, Jean-Luc; Teheux, Bruno
7
2014
Totally symmetric functions are reconstructible from identification minors. Zbl 1297.08002
Lehtonen, Erkko
5
2014
Reconstructing multisets over commutative groupoids and affine functions over nonassociative semirings. Zbl 1286.05185
Lehtonen, Erkko
4
2014
Generalized entropy in expanded semigroups and in algebras with neutral element. Zbl 1304.08001
Lehtonen, Erkko; Pilitowska, Agata
2
2014
Parametrized arity gap. Zbl 1284.08006
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
2
2013
Galois theory for sets of operations closed under permutation, cylindrification, and composition. Zbl 1257.08002
Couceiro, Miguel; Lehtonen, Erkko
13
2012
Decompositions of functions based on arity gap. Zbl 1230.08001
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
5
2012
The arity gap of order-preserving functions and extensions of pseudo-Boolean functions. Zbl 1246.06005
Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás
3
2012
Commuting polynomial operations of distributive lattices. Zbl 1257.08001
Behrisch, Mike; Couceiro, Miguel; Kearnes, Keith A.; Lehtonen, Erkko; Szendrei, Ágnes
2
2012
Partial orders induced by quasilinear clones. Zbl 1284.08008
Lehtonen, Erkko; Szendrei, Ágnes
2
2012
On the homomorphism order of labeled posets. Zbl 1231.06001
Kwuida, Léonard; Lehtonen, Erkko
5
2011
Self-commuting lattice polynomial functions on chains. Zbl 1226.39008
Couceiro, Miguel; Lehtonen, Erkko
3
2011
Clones with finitely many relative \({\mathcal R}\)-classes. Zbl 1217.08002
Lehtonen, Erkko; Szendrei, Ágnes
1
2011
Closed classes of functions, generalized constraints, and clusters. Zbl 1220.08002
Lehtonen, Erkko
4
2010
Minors of Boolean functions with respect to clique functions and hypergraph homomorphisms. Zbl 1204.06009
Lehtonen, Erkko; Nešetřil, Jaroslav
1
2010
A note on minors determined by clones of semilattices. Zbl 1265.08006
Lehtonen, Erkko
1
2010
Generalizations of Świerczkowski’s lemma and the arity gap of finite functions. Zbl 1200.08001
Couceiro, Miguel; Lehtonen, Erkko
12
2009
Equivalence of operations with respect to discriminator clones. Zbl 1168.08003
Lehtonen, Erkko; Szendrei, Ágnes
8
2009
Labeled posets are universal. Zbl 1133.06003
Lehtonen, Erkko
8
2008
On the effect of variable identification on the essential arity of functions on finite sets. Zbl 1202.08001
Couceiro, Miguel; Lehtonen, Erkko
8
2007
Descending chains and antichains of the unary, linear, and monotone subfunction relations. Zbl 1124.08002
Lehtonen, Erkko
16
2006
Composition of Post classes and normal forms of Boolean functions. Zbl 1110.06017
Couceiro, Miguel; Foldes, Stephan; Lehtonen, Erkko
8
2006
An infinite descending chain of Boolean subfunctions consisting of threshold functions. Zbl 1111.06008
Lehtonen, Erkko
2
2006
all top 5

Cited by 75 Authors

30 Lehtonen, Erkko
21 Couceiro, Miguel
9 Marichal, Jean-Luc
9 Waldhauser, Tamás
7 Teheux, Bruno
4 Denecke, Klaus Dieter
3 Mathonet, Pierre
3 Phusanga, Dara
3 Pibaljommee, Bundit
3 Schölzel, Karsten
3 Selivanov, Viktor L’vovich
3 Szendrei, Ágnes
2 Behrisch, Mike
2 Devillet, Jimmy
2 Fiala, Jiří
2 Fioravanti, Stefano
2 Hubička, Jan
2 Kerkhoff, Sebastian
2 Kitpratyakul, Pongsakorn
2 Koppitz, Jörg
2 Lekkoksung, Nareupanat
2 Long, Yangjing
2 Mercuriali, Pierre
2 Mesiar, Radko
2 Péchoux, Romain
2 Pouzet, Maurice
1 Albert, Michael Henry
1 Bodor, Bertalan
1 Bouaziz, Moncef
1 Bouvel, Mathilde
1 Bronevich, Andrey G.
1 Burcroff, Amanda
1 Castillo-Ramirez, Alonso
1 Changphas, Thawhat
1 Davey, Brian A.
1 Defant, Colin
1 Duparc, Jacques
1 Féray, Valentin
1 Gray, Charles T.
1 Halaš, Radomír
1 Hertling, Peter H.
1 Hounnon, Hippolyte
1 Huczynska, Sophie
1 Jakubíková-Studenovská, Danica
1 Jampachon, Prakit
1 Kaprinai, Balázs
1 Karpilovskij, Mark
1 Kearnes, Keith A.
1 Kiss, Gergely
1 Kwuida, Léonard
1 Lohapan, Laddawan
1 Machida, Hajime
1 Mašulović, Dragan
1 Mata-Gutiérrez, Osbaldo
1 Merigó, José M.
1 Nešetřil, Jaroslav
1 Pilitowska, Agata
1 Pitkethly, Jane G.
1 Pocs, Jozef
1 Pöschel, Reinhard
1 Quinn-Gregson, Thomas
1 Ruškuc, Nik
1 Saffidine, Abdallah
1 Schneider, Friedrich Martin
1 Skordev, Dimit’r G.
1 Somlai, Gábor
1 Torra, Vicenç
1 Tóth, Endre
1 Verhulst, Nikolaas D.
1 Vuilleumier, Louis
1 Wang, Huimin
1 Xu, Aiwen
1 Xu, Yejun
1 Yashunsky, Aleksey D.
1 Zaldívar Corichi, Luis Ángel

Citations by Year