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Profil

SCHÖLZEL Karsten

Main Referenced Co-authors
LEHTONEN, Erkko  (6)
COUCEIRO, Miguel  (4)
Couceiro, Miguel (4)
Haddad, Lucien (4)
WALDHAUSER, Tamás  (2)
Main Referenced Keywords
Partial clones (9); Many valued logics (5); Partial functions (5); Cloning (4); Sheffer function (3);
Main Referenced Disciplines
Mathematics (25)
Quantitative methods in economics & management (1)

Publications (total 25)

The most downloaded
182 downloads
Schölzel, K. (June 2015). Dichotomy on intervals of strong partial Boolean clones. Algebra Universalis, 73 (3), 347-368. doi:10.1007/s00012-015-0330-7 https://hdl.handle.net/10993/9390

The most cited

12 citations (Scopus®)

Schölzel, K. (June 2015). Dichotomy on intervals of strong partial Boolean clones. Algebra Universalis, 73 (3), 347-368. doi:10.1007/s00012-015-0330-7 https://hdl.handle.net/10993/9390

Schölzel, K., & Tomaschek, J. (2016). Power series solutions of Tarski's associativity law and of the cyclic associativity law. Aequationes Mathematicae, 90 (2), 411–425. doi:10.1007/s00010-015-0364-0
Peer Reviewed verified by ORBi

Schölzel, K. (June 2015). Dichotomy on intervals of strong partial Boolean clones. Algebra Universalis, 73 (3), 347-368. doi:10.1007/s00012-015-0330-7
Peer reviewed

Couceiro, M., Lehtonen, E., & Schölzel, K. (2015). Set-reconstructibility of Post classes. Discrete Applied Mathematics, 187, 12-18. doi:10.1016/j.dam.2015.02.013
Peer reviewed

Couceiro, M., Lehtonen, E., & Schölzel, K. (2015). A complete classification of equational classes of threshold functions included in clones. RAIRO: Recherche Opérationnelle, 49 (1), 39–66. doi:10.1051/ro/2014034
Peer Reviewed verified by ORBi

Schölzel, K., & Romov, B. (2014). Partial R-clones. Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on. doi:10.1109/ISMVL.2014.24
Peer reviewed

Haddad, L., & Schölzel, K. (2014). Countable intervals of partial clones. Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on. doi:10.1109/ISMVL.2014.35
Peer reviewed

Lehtonen, E., & Schölzel, K. (2014). Intervals of the homomorphism order of graphs have infinite width. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/17473.

Schölzel, K., Couceiro, M., Haddad, L., & Waldhauser, T. (2014). Relation graphs and partial clones on a 2-element set. Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on. doi:10.1109/ISMVL.2014.36
Peer reviewed

Couceiro, M., Lehtonen, E., & Schölzel, K. (2014). Hypomorphic Sperner systems and non-reconstructible functions. Order: A Journal on the Theory of Ordered Sets and its Applications. doi:10.1007/s11083-014-9330-z
Peer reviewed

Couceiro, M., Lehtonen, E., & Schölzel, K. (2013). Sur des classes de fonctions à seuil caractérisables par des contraintes relationnelles. In J.-L. Marichal, N. Essounbouli, ... K. Guelton (Eds.), Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France (pp. 145-152). Université de Reims Champagne-Ardenne.
Peer reviewed

Schölzel, K., & Haddad, L. (2013). Intersections with Slupecki Partial Clones on a Finite Set. Multiple-Valued Logic (ISMVL), 2013 IEEE 43rd International Symposium on. doi:10.1109/ISMVL.2013.33
Peer reviewed

Schölzel, K. (2013). Upside down with the strong partial clones. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/16607.

Schölzel, K., Couceiro, M., Haddad, L., & Waldhauser, T. (2013). A Solution to a Problem of D. Lau: Complete Classification of Intervals in the Lattice of Partial Boolean Clones. Multiple-Valued Logic (ISMVL), 2013 IEEE 43rd International Symposium on. doi:10.1109/ISMVL.2013.7
Peer reviewed

Couceiro, M., Lehtonen, E., & Schölzel, K. (2013). A complete classification of equational classes of threshold functions included in clones. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/11352.

Couceiro, M., Lehtonen, E., & Schölzel, K. (2013). Set-reconstructibility of Post classes. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/11351.

Böhm, M., & Schölzel, K. (2012). A generalization of Completely Separating Systems. Discrete Mathematics, 312 (22), 3213-3227. doi:10.1016/j.disc.2012.07.019
Peer Reviewed verified by ORBi

Schölzel, K. (2012). A Sheffer-criterion for partial 4-valued logic. Journal of Multiple-Valued Logic and Soft Computing, 18 (2), 167-199.
Peer Reviewed verified by ORBi

Schölzel, K. (2012). Counting the maximal partial clones on a finite set. Journal of Multiple-Valued Logic and Soft Computing, 18 (2), 153-165.
Peer Reviewed verified by ORBi

Schölzel, K. (2011). Uniqueness of minimal coverings of maximal partial clones. Algebra Universalis, 65 (4), 393-420. doi:10.1007/s00012-011-0138-z
Peer reviewed

Schölzel, K. (2011). Galois theory for partial clones and some relational clones. Proceedings - 41st IEEE International Symposium on Multiple-Valued Logic, ISMVL 2011, 187-192. doi:10.1109/ISMVL.2011.14
Peer reviewed

Schölzel, K. (2011). Clones of partial functions on finite sets. Aachen: Shaker Verlag - Rostock: Univ. Rostock, Mathematisch-Naturwissenschaftliche Fakultät (Diss. 2010). doi:10.2370/9783832298234

Lau, D., & Schölzel, K. (2010). A classification of partial Boolean clones. Proceedings of The International Symposium on Multiple-Valued Logic, 189-194. doi:10.1109/ISMVL.2010.43
Peer reviewed

Schölzel, K. (2010). Number of maximal partial clones. Proceedings of The International Symposium on Multiple-Valued Logic, 288-293. doi:10.1109/ISMVL.2010.60
Peer reviewed

Schölzel, K. (2009). Minimal coverings of maximal partial clones. Proceedings of The International Symposium on Multiple-Valued Logic, 114-119. doi:10.1109/ISMVL.2009.32
Peer reviewed

Schölzel, K. (2009). The minimal covering of maximal partial clones in 4-valued logic. Proceedings of The International Symposium on Multiple-Valued Logic, 126-131. doi:10.1109/ISMVL.2009.33
Peer reviewed

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