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  • Prüfungstermin
    Am 15.01.2016 von 08:30 bis 11:45 Uhr ist Prüfungstermin für "Algebra für InformatikerInnen" (SS15), "Einführung in die Algebra" (SS15) und "Kommutative Algebra" (SS15). Prüfungsanmeldung über Kusss erforderlich!

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Science Park II, 3rd floor

Science Park II, 3rd floor, GPS: 48.335634,14.323747 ...  more of Location (Titel)


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Erhard Aichinger

 Erhard Aichinger

Erhard Aichinger (Back to Team Overview)
Assoz. Univ.-Prof. Dipl.-Ing. Dr.

S2 0370
Phone: +43 732 2468 6856
Consultation-hours: Tuesday, 9:00-9:45, or per e-mail arrangement.
erhard.aichinger(/\t)jku.at

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Gehaltene Vorträge

Vortragstyp: Hauptvortrag / Eingeladener Vortrag auf einer Tagung

  1. Forks, finitely related clones, and finitely generated varieties (02.09.2015)
  2. Higher commutators, nilpotence, and supernilpotence (09.06.2013)
  3. Polynomial completeness properties of algebras with Mal'cev terms (09.06.2012)
  4. Polynomial Completeness of Mal'cev algebras (13.02.2010)
  5. The surprising ubiquity of planar near-rings (24.07.2008)
  6. Affine complete algebras in congruence permutable varieties (24.02.2002)
  7. Near-rings of polynomial functions (26.07.2001)

Vortragstyp: Vortrag auf einer Tagung (nicht referiert)

  1. Mal'cev clones on finite sets (17.06.2017)
  2. Lattices allowing only nilpotent commutator operations (11.02.2017)
  3. Congruence lattices forcing nilpotency (27.05.2016)
  4. On the relational degree of a clone (06.02.2016)
  5. Independence of algebras (07.06.2015)
  6. Finitely generated clones of congruence preserving functions (01.03.2015)
  7. Term functions of direct products (20.06.2014)
  8. Subvarieties and clones (08.02.2014)
  9. On function compositions that are polynomials (31.05.2013)
  10. Congruence lattices that force nilpotence (02.02.2013)
  11. On the direct decomposition of nilpotent expanded groups (15.03.2012)
  12. The clone of congruence preserving functions (25.06.2011)
  13. A remark on the composition of polynomial functions over algebraically closed fields (05.02.2011)
  14. Commutator-equivalent algebras (17.08.2009)
  15. An instance of the subnearring membership problem (30.07.2009)
  16. Commutator-equivalent algebras (14.06.2009)
  17. An instance of the clone membership problem (24.05.2008)
  18. Some applications of higher commutators to Mal'cev algebras (03.11.2007)
  19. Congruence preserving functions and polynomial functions on expanded groups (24.07.2007)
  20. On the number of polynomially inequivalent finite Mal'cev algebras with congruence lattice of height two (04.02.2007)
  21. Types of polynomial completeness for expanded groups (11.02.2006)
  22. Types of polynomial completeness in universal algebras (13.01.2006)
  23. Types of polynomial completeness of expanded groups (28.05.2005)
  24. Affine completeness in expanded groups (20.03.2005)
  25. Polynomial interpolation in expanded groups (06.11.2004)
  26. The variety of near-rings is generated by its finite members (30.07.2004)
  27. Commutators and congruence preserving functions on expanded groups (11.06.2004)
  28. A bound on the number of polynomial functions that leads to a decidability result for near-rings (23.09.2003)
  29. Bounds on the size of N-groups that lead to decidability results (01.08.2003)
  30. A lower bound on the number of polynomial functions on subdirectly irreducible expanded groups (20.06.2003)
  31. 2-affine complete algebras need not be affine complete (24.07.2002)
  32. Affine complete algebras (27.04.2002)
  33. The polynomial functions on certain semidirect products of groups (16.06.2001)
  34. The polynomial functions of certain algebras (03.02.2001)
  35. Polynomial functions on Omega-groups (15.04.2000)
  36. On affine complete groups (22.09.1997)

Vortragstyp: Eingeladener Vortrag an Universität

  1. Algebraische Zugänge zur Beschreibung von Mal'cev-Klonen (24.01.2013)
  2. Polynomials and Structure of Universal Algebras (13.01.2012)
  3. Describing polynomial functions of universal algebras (20.10.2006)
  4. Clones of polynomial functions on universal algebras (20.04.2006)
  5. Polynomfunktionen auf Gruppen und universellen Algebren (11.05.2004)
  6. Congruence preserving functions on $\Omega$-groups (25.04.2002)
  7. Affine complete algebras (15.03.2002)
  8. SONATA Workshop 2001 (22.07.2001)
  9. Computazioni nei quasi-anelli -- risultati, successi e delusioni del progetto SONATA (22.02.2001)
  10. Studiare polinomi su gruppi - serve? (20.02.2001)
  11. New near-ring-theoretic methods to construct idempotent polynomial functions (24.09.1999)
  12. Quasianelli planari che sono anelli e altri quasianelli che soddisfano identita sorprendenti (09.09.1997)
  13. SONATA (12.07.1997)
  14. On some classes of affine complete groups (02.10.1996)

Vortragstyp: Eingeladener Vortrag an anderen Institutionen

  1. Maximal ideals of near-rings: how to find and how to use them (14.02.2000)

Vortragstyp: Posterpräsentation

  1. Polynomial functions on linear groups (03.06.2004)
  2. Polynomial functions on classical groups and Frobenius groups (31.03.2004)
  3. Polynomial interpolation on groups and universal algebras (31.03.2004)

Vortragstyp: Andere Vorträge und Präsentationen

  1. Informationstheorie – eine mathematische Theorie der Datenkompression und Datenübertragung (14.01.2016)
  2. Codierungstheorie: Quellen- und Kanalcodierung (13.02.2005)
  3. Informations- und Codierungstheorie : Eine Einfuehrung in Quellen- und Kanalcodierung (13.07.2004)
  4. Kryptographie (12.12.2003)

Slides of some talks:

Mal'cev clones on finite sets (AAA93&NSAC2017, Novi Sad, June 2017)

Lattices allowing only nilpotent commutator operations (AAA93, Bern, Feb 2017)

application/x-octet-streamForks, finitely related clones, and finitely generated varieties (315KB, SSAOS 2015 Srni, Czech Republic, September 2015)
application/pdfPolynomial completeness properties (346KB, AAA84 Dresden, Germany, June 2012)
application/pdfPolynomial completeness of Mal'cev Algebras (431KB, Talk given at AAA79 in Olomouc)
application/pdfAn instance of the subnear-ring membership problem (100KB, Near-rings and near-fields 2009, Vorau, Austria)
application/pdfThe surprising ubiquity of planar near-rings (888KB, Combinatorics 2008, Costermano, Italy, July 2008 (Helpful comments by Peter Mayr are gratefully acknowledged))
application/pdfInformationstheorie - eine mathematische Theorie der Datenkompression und Datenübertragung (1.2 MB, Tag der Mathematik für MathematiklehrerInnen an der JKU Linz, November 2007)
application/pdfSome applications of higher commutators to Mal'cev algebras (849KB, AAA75, Darmstadt, Germany, November 2007 (Joint with Nebojsa Mudrinski))
application/pdfCongruence preserving functions and polynomial functions on expanded groups (753KB, Near-rings 2007, Linz, Austria, July 2007)
application/pdfOn the number of polynomially inequivalent Mal'cev algebras with congruence lattice of height two (51KB, AAA73, Klagenfurt, Austria, February 2007 (Joint research with Nebojsa Mudrinski))