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Ph.D. (J.E. Purkyne, Brno 1966) |
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Professeur titulaire |
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Champs d'intérêt et thèmes d'enseignement
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Travaux en algèbre universelle (surtout clones, relations et dualité
algébrique)
hyperstructures, ensembles ordonnés et
métriques généralisés.
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Publications
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Articles avec comité de lecture
- POUZET, M. & ROSENBERG, I.G., Embeddings and Absolute Retracts of Relational
Systems, Acta Sci. Math. (Szeged), 36, pp. 1-12, 2000.
- DEZA, M. & ROSENBERG, I.G., n-Semimetrics, Europ. J.Combinatorics, 21, pp. 797-806,
2000.
- CHAJDA, I., HALAS, R., PINUS, A.G. & ROSENBERG, I.G., Duality of Normally
Presented Varieties, Int. J. Algebra Comput., Vol 10, No 5, pp. 651-664, 2000.
- ROSENBERG, I.G. & SCHWEIGERT, D., Locally Maximal Clones II, J. Algorithms,
Languages and Combinatorics, Vol. 5, No 4, pp. 421-455, 2000.
- ROSENBERG, I.G., Two Properties of Fuzzy Subquasigroups of a Quasigroup, Fuzzy Sets and
Systems, 110, pp. 447-450, 2000.
MACHIDA, H. & ROSENBERG, I.G., Gigantic Pairs of Minimal Clones, Preprint
HitSosubashi U. Tokyo, Accepté dans, Multiple-valued Logic, 1999-11.
- CHAJDA, I., HALAS, R., PINUS, A.G. & ROSENBERG, I.G., Duality of Normally
Presented Varieties, Accepté Int. J. Algebra Comput, 1999-10.
- CHAJDA, I., HALAS, R. & ROSENBERG, I.G., Ideals and the Binary Discriminator
in Universal Algebra, Algebra Universalis, 42, No 4, pp. 239--251, 1999.
- MIYAKAWA, M., NOZAKI, A., POGOSYAN, G. & ROSENBERG, I.G., A Map from the Lower Half
of the n-Cube onto the (n-1)-Cube Which Preserves Intersecting Antichains, Discrete Appl.
Math., 92, pp. 223-228, 1999.
- ROSENBERG, I.G., An Interface Between Algebra and Combinatorics, Rendiconti del Circolo
matematico di Palermo, Series II, Suppl., 53, pp. 219-224, 1998.
- POUZET, M., ROSENBERG, I.G. & STONE, M.G., A Swierczkowski-Type of Affine
Multiple-Valued Functions on an elementary 2-Group, 8 pages, Multiple-Valued Logic, 3, pp.
333-342, 1998.
- ROSENBERG, I.G., Hypergroups and Join Spaces Determined by Relations, Italian J. Pure
Appl. Maths., 4, pp. 93-101, 1998.
- ROSENBERG, I.G., Hypergroups Induced by Paths of a Directed Graph, Italian J. Pure
Appl. Maths., 4, pp. 133-142, 1998.
- HIKITA, T. & ROSENBERG, I.G., Completeness for Uniformly Delayed Circuits, a
Survey, Acta Applic. Math., 52, pp.49-61, 1998.
- CHAJDA, I. & ROSENBERG, I.G., Discriminator Algebras With One Nullary Operation,
contributions to General Algebra 10 Proc. Klagenfurt Conf. May 29-June 1, 1997, Verlag
Johannes Heyn, Klagenfurt, pp. 101-110, 1998.
- FUREDI, Z. & ROSENBERG, I.G., Orders Admitting an Isotone Majority Operation,
Multiple-Valued Logic, 3(1), 15 pages, 1998.
- ROSENBERG, I.G., Multiple-Valued Hyperstructures, Proc. 28th Internat. Symp.
Multiple-Valued Logic, Fukuoka 1998-05, I.E.E.E. 1998, pp. 326-333, 1998.
- DAVEY, B. & ROSENBERG, I.G., Algebraic Duality, Advances in the Math. Sci. CRM's 25
years (L. Vinet eds.),CRM Proc. Lecture Notes 11 AMS, 17 pages, 1997.
- POGOSYAN, G., MIYAKAWA, M., NOZAKI, A. & ROSENBERG, I.G., On the Number of Clique
Boolean Functions, IEICE Trans. Fundamentals, Electronics, Comm. and Comput. Sciences, vol.
E-80, No. 8, pp.1502-1507, 1997-08.
- DEMETROVICS, J., RÓNYAI, L., ROSENBERG, I.G. & STOJMENOVIC, I., Clones and
Maximal Sets Logic Containing All Boolean Functions, Acta Sci. Math. (Szeged), 62, pp.
345-357, 1996.
- CHAJDA, I., CZÉDLI, G. & ROSENBERG, I.G., Kernels of Tolerance Relations, Acta
Math. Univ. Comenia, 65(2), pp. 189-193, 1996.
- CHAJDA, I. & ROSENBERG, I.G., Ideals and Congruence Kernels of Algebras,
Czechoslovak J. Math., 46 (121), pp. 733-744, 1996.
- HADDAD, L. & ROSENBERG, I.G., Partial Clones Containing All Permutations, Bull.
Austr. Math. Soc., 52, pp. 263-278, 1995.
- CHAJDA, I. & ROSENBERG, I.G., Remarks on Jónsson's Lemma, Houston J. Math,. 22
(2),pp. 249-262, 1996.
- POUZET, M., ROSENBERG, I.G. & STONE, M.A., Projection Property, Algebra
Universalis, 36, 25 pages, 1996.
- LASHKIA, V., MIYAKAWA, M., NOZAKI, A. & ROSENBERG, I.G., Semirigid Sets of Diamond
Orders, Discrete Math., 156, 5 pages, 1996.
- CHAJDA, I., CZEDLI, G. & ROSENBERG, I.G., On Lattices Whse Ideals Are All Tolerance
Kernels, Acta Sci. Math. (Szeged), 61, pp-23-32, 1995.
- ROSENBERG, I.G, Clones on a Prime Cardinality Universe Containing an Affine Operation,
Tatra Mountains Math. Publ., 5, pp.201-215, 1995.
- NOZAKI, A., MIYAKAWA, M., POGOSYAN, G & ROSENBERG, I.G., The Number of Orthogonal
Permutations, European J. Combinatorics, 16, 14 pages, 1995.
- HADDAD, L. & ROSENBERG, I.G., Finite Clones Containing All Permutations, Canad. J.
Mathematics, 19 pages, 1994.
- POUZET, M. & ROSENBERG, I.G., General Metrics and Contracting Operations, ,
Discrete Math., 130 (1-3), 68 pages, 1994.
- HAZAN, S25.01.2008elations, Discrete
Math., 130 (1-3), 5 pages, 1994.
- MIYAKAWA, M., NOZAKI, A., POGOSYAN, G & ROSENBERG, I.G., Semirigid Sets of
Quasi-Linear Clones, Proc. 23rd Internat. Symp. Multiple-Valued Logic, Sacramenti, 9 pages,
1993.
- POUZET, M. & ROSENBERG, I.G., Inertial Equivalences on Ranked Posets, Mathematica
Montisnigri I, 18 pages, 1993.
- MICHIDA, H. & ROSENBERG, I.G., Essentially Minimal Groupoids, Algebras and Orders,
NATO ASI, ser. C. vol. 389, Kluwer Acad. Publ., 1993 (Rosenberg I.G. & Sabidussi, G.
eds.), 50 pages, 1993.
- MIYAKAWA, M., NAKAMURA, K., RAMIK, J. & ROSENBERG, I.G., Joint Canonical Fuzzy
Numbers, Fuzzy Sets and Systems, 53, 9 pages, 1993.
- MACHIDA, H., ROSENBERG, I.G., A Large Essentially Minimal Clone Over an Infinite Set,
Contemporary Math., 131, 9 pages 1992.
- MIYAKAWA, M., NOZAKI, A., POGOSYAN, G & ROSENBERG, I.G., Semirigid Sets of Central
Relations over a Finite Domain, Proc. 22nd Internat. Symp. Multiple-Valued Logic, Sendai, 8
pages, 1992.
- ROSENBERG, I.G., STURM, T., Congruence Relations on Finitary Models, Czech. Math. J.,
42(117), 9 pages, 1992.
- HADDAD, L. & ROSENBERG, I.G., Genrating Sequences for k-Valued Logic, Information
Sciences, 65(3), 7 pages, 1992.
- RAFTERY, J.G., ROSENBERG, I.G., STURM, T., Tolerance Relations and BCK-Algebras, Math.
Japonica, 36, 11 pages, 1991.
- HADDAD, L. & ROSENBERG, I.G., Completeness Theory for Finite Partial Algebras,
Algebra Universalis, 29, page 4238, 1991.
- HADDAD, L. & ROSENBERG, I.G., Partial Sheffer Functions, European J. Combinatorics,
12, 12 pages, 1991.
- QUACKENBUSH, R.W., RIVAL, I. & ROSENBERG, I.G., Clones, Order Varieties, Near
Unanimity Functions and Holes, Order, 9 pages, 1990.
- HADDAD, L. & ROSENBERG, I.G. & SCHWEGERT, D., A Maximal Partial Clone and a
Slupecki Type Criterion, Acta Sci. Math. (Szeged) 54, 1-2, 9 pages, 1990.
- DEMETROVICS, J., MIYAKAWA, M., ROSENBERG, I.G., SIMOVICI, D.A. & STOJMENOVIC, I.,
On Intersections of Isotone Clones of P, Proc. 20th Int. Symp. Multiple-Val. Logic, 5
pages, 1990.
- HADDAD, L. & ROSENBERG, I.G., Finite Clones Containing All Permutations,
Information Sciences Proc. 20th Internat. Symp. Multiple-Valued Logic, Charlotte IEEE, 7
pages, 1990.
- ROSENBERG, I.G., Mal'cev Algebrass for Universal Algebra Terms, Lecture Notes in Comp.
Sc,. Springer Verlag, 15 pages, 1990.
- MIYAKAWA, M., ROSENBERG, I.G. & STOJMENOVIC, I., Classification of the Set of
Three-Valued Logical Functions Preserving 0, Discrete Math., 18 pages, 1990.
Actes avec comité de lecture
- MACHIDA, H., MIYAKAWA, M. & ROSENBERG, I.G., Relations between clones and full
monoidsI, Accepté dans Proc. Internat. Sympos. Multiple-valued Logic, Warsaw
2001.
- MIYAKAWA, M. & ROSENBERG, I.G., Rigidity problems of autodual clones, Proc. 30th
Internat. Symp. Multiple-valued Logic, Portland - Oregon, Mai 2000, pp. 391-395.
- HADDAD, L., MACHIDA, H.,& ROSENBERG, I.G., On the intersection of maximal and the
join of minimal partial clones, Proc. 30th Internat. Sympos. Multiple-valued Logic,
Portland - Oregon, Mai 2000, pp. 396-401.
- ROSENBERG, I.G., An Algebraic Approach to Hyperalgebras, Proc. 26th Internat. Symp.
Multiple-Valued Logic, Santiago de Compostela, 1996-05-18 au 31, I.E.E.E., pp.203-207,
1996.
- ROSENBERG, I.G., Wall Monoids I, " New Frontiers in Hyperstructures and Related
Algebras ", Proc. of Monterudini Workshop (T. Vougiouklis ed.) Hadronic Press, pp. 159-167,
1996.
- KAISER, H.-K. & ROSENBERG, I.G., A Remark on Algebras With the Interpoltaion
Property, Contributions to General Algebra 9, Verlag Hölder-Pichler-Tempsky, Wien,
B.G. Teubner Stüttgart 1995, pp. 213-218.
- POGOSYAN, G., MIYAKAWA, M., NOZAKI, A. & ROSENBERG, I.G., Hereditary Clones of
Muliple-Valued Logic Algebra, Proc. 24th Internat. Symp. Multiple-Valued Logic, Boston
1994, I.E.E.E., pp. 306-313, 1994.
Livres
- ACHACHE, A., POUZET, M., HAHN, G. & ROSENBERG, I.G., Actes 2e rencontre
Jacques-Cartier, Discrete Math. (Special Isue) vol. 130 (1-3), 184 pages, 1994.
- ROSENBERG, I.G., & SABIDUSSI, G. (eds.), Algebras and Orders, NATO ASI, Ser. Math.
Phys. Sc., vol. 389, Kluewr Acad. Publ., 553 pages, 1993.
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