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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

Tab Navigation appendant to Information

Publikationstyp: Aufsatz / Paper in SCI-Expanded-Zeitschrift

Aichinger E.
Congruence lattices forcing nilpotency, in: Journal of Algebra and Its Applications, Volume 17, Number 2, Page(s) 1850033-1 - 1850033-24, 2018.
Aichinger E.
On the local closure of clones on countable sets, in: Algebra Universalis, Volume 78, Page(s) 355-361, 2017.
Aichinger E., Lazic M., Mudrinski N.
Finite generation of congruence preserving functions, in: Monatshefte für Mathematik, Volume 181, Page(s) 35-62, 2016.
Aichinger E., Mayr P.
Finitely generated equational classes, in: Journal of Pure and Applied Algebra, Volume 220, Page(s) 2816-2827, 2016.
Aichinger E., Mayr P.
Independence of algebras with edge term, in: International Journal of Algebra and Computation (IJAC), Volume 25, Number 7, Page(s) 1145-1157, 2015.
Aichinger E.
On function compositions that are polynomials, in: Journal of Commutative Algebra, Volume 7, Number 3, Page(s) 303-315, 2015.
Aichinger E.
On the direct decomposition of nilpotent expanded groups, in: Communications in Algebra, Volume 42, Number 6, Page(s) 2651-2662, 2014.
Aichinger E., Mayr P., McKenzie R.
On the number of finite algebraic structures, in: Journal of the European Mathematical Society (JEMS), Volume 16, Number 8, Page(s) 1673-1686, 2014.
Aichinger E.
Generating polynomials using function composition, in: Quaestiones Mathematicae, Volume 36, Number 1, Page(s) 39-46, 2013.
Aichinger E., Mudrinski N.
On various concepts of nilpotence for expansions of groups, in: Publicationes Mathematicae Debrecen, Volume 83, Number 4, Page(s) 583-604, 2013.
Aichinger E., Mudrinski N.
Sequences of Commutator Operations, in: Order, Volume 30, Number 3, Page(s) 859-867, 2013.
Aichinger E., Steinerberger S.
A proof of theorem by Fried and MacRae and applications to the composition of polynomial functions, in: Archiv der Mathematik, Volume 97, Number 2, Page(s) 115-124, 2011.
Aichinger E., Mayr P., Meldrum J., Peterson G., Scott S.
Units of compatible nearrings, in: Monatshefte fuer Mathematik, Volume 164, Number 2, Page(s) 119-132, 2011.
Aichinger E.
Constantive Mal'cev clones on finite sets are finitely related, in: Proceedings American Mathematical Society, Volume 138, Number 10, Page(s) 3501-3507, 2010.
Aichinger E., Mudrinski N.
Polynomial clones of Mal'cev algebras with small congruence lattices, in: Acta Mathematica Hungarica, Volume 126, Number 4, Page(s) 315-333, 2010.
Aichinger E., Mudrinski N.
Some Applications of Higher Commutators in Mal'cev Algebras, in: Algebra Universalis, Volume 63, Page(s) 367-403, 2010.
Aichinger E., Mudrinski N.
Types of polynomial completeness of expanded groups, in: Algebra universalis, Volume 60, Number 3, Page(s) 309-343, 2009.
Aichinger E., Cannon G., Ecker J., Kabza L., Neuerburg K.
Some near-rings in which all ideals are intersections of Noetherian quotients, in: Rocky Mountain Journal of Mathematics, Volume 38, Number 3, Page(s) 713-726, 2008.
Mayr P., Aichinger E.
Polynomial clones on groups of order pq, in: Acta Mathematica Hungarica, Volume 114, Number 3, Page(s) 267-285, 2007.
Ecker J., Aichinger E.
Every (k+1)-affine complete nilpotent group of class k is affine complete, in: International Journal of Algebra and Computation (IJAC), Volume 16, Number 2, Page(s) 259-274, 2006.
Aichinger E.
The near-ring of congruence-preserving functions on an expanded group, in: Journal of Pure and Applied Algebra, Volume 205, Page(s) 74-93, 2006.
Aichinger E.
A bound on the number of unary polynomial functions and a decidability result for near-rings, in: International Journal of Algebra and Computation, Volume 15, Number 2, Page(s) 279-289, 2005.
Aichinger E., Wilson J., Poeschel R., Masulovic D.
Completeness for concrete near-rings, in: Journal of Algebra, Volume 279, Number 1, Page(s) 61-78, 2004.
Aichinger E., Idziak P.
Polynomial interpolation in expanded groups, in: Journal of Algebra, Volume 271, Page(s) 65-107, 2004.
Aichinger E.
The variety of near-rings is generated by its finite members, in: Monatshefte für Mathematik, Volume 143, Number 2, Page(s) 89-103, 2004.
Aichinger E., Mayr P.
Polynomial functions and endomorphism near-rings on certain linear groups, in: Communications in Algebra, Volume 31 (11), Page(s) 5627-5651, 2003.
Aichinger E.
2-affine complete algebras need not be affine complete, 2002.
Aichinger E.
On near-ring idempotents and polynomial functions on direct products of Omega-groups, 2001.
Aichinger E.
On Hagemann's and Herrmann's characterization of strictly affine complete algebras, 2000.

Publikationstyp: Aufsatz / Paper in sonstiger referierter Fachzeitschrift

Aichinger E., Masulovic D., Poeschel R.
Complexity of Mal'cev interpolation, in: Novi Sad Journal of Mathematics, Volume 37, Number 1, Page(s) 107-114, 2007.
Farag M., Aichinger E.
On when the multiplicative center of a near-ring is a subnear-ring, in: Aequationes Mathematicae, Volume 68, Page(s) 46-59, 2004.
Aichinger E.
The polynomial functions on certain semidirect products of groups, 2002.
Aichinger E.
On the maximal ideals of non-zero-symmetric near-rings and of composition algebras of polynomial functions on {$\Omega$}-groups., 2001.
Aichinger E.
On maximal ideals of tame near-rings, 1999.
Aichinger E.
Local polynomial functions on the integers, 1997.
Aichinger E.
Planar rings, 1996.

Publikationstyp: Aufsatz / Paper in Tagungsband (referiert)

Aichinger E., Yatchak R.
SONATA: a GAP tool for nearring computations, in: ACM Communications in Computer Algebra, Series Issue 197, Volume 50, Number 3, Page(s) 89-92, 2016.
Aichinger E.
The polynomial functions of certain algebras that are simple modulo their center, in: Contributions to general algebra, Volume 17, Page(s) 9-24, Johannes Heyn, 2006.
Aichinger E., Pilz G.
A survey on polynomials and polynomial functions, in: Y. Fong, L-S. Shiao, E. Zelmanov (Eds.): Proceedings of The Third International Algebra Conference, Chang Jung University, Tainan, Taiwan, Page(s) 1-16, Kluwer Academic Publishers, 2003.
Aichinger E., Ecker J., Nöbauer C.
The use of computers in near-ring theory, 2001.
Binder F., Aichinger E., Ecker J., Nöbauer C., Mayr P.
Algorithms for Near-rings of Non-linear Transformations, 2000.
Aichinger E.
A note on simple composition rings, 1997.
Aichinger E., Nöbauer C.
The cardinalities of the endomorphism near-rings I(G), A(G), and E(G) for all groups G with |G| <= 31, 1997.
Aichinger E.
Local interpolation near-rings as a frame-work for the density theorems, 1995.

Publikationstyp: Aufsatz / Paper in Online-Archiv (nicht-referiert)

Aichinger E., Mudrinski N., Oprsal J.
Complexity of term representations of finitary functions, in: arXiv, Number arXiv:1709.01759, 2017.
Aichinger E., Kreinecker S.
Subnearrings of (Z[x],+,o), in: arXiv, Number arXiv:1709.01345, 2017.
Aichinger E.
Congruence lattices forcing nilpotency, in: arXiv, Number arXiv:1610.01800, 2016.
Aichinger E.
On function compositions that are polynomials, in: arXiv, Number arXiv:1601.01779, 2016.
Aichinger E.
On the local closure of clones on countable sets, in: arXiv, Number arXiv:1609.03722, 2016.
Aichinger E., Lazic M., Mudrinski N.
Finite generation of congruence preserving functions, in: arXiv, Number 1503.08487, 2015.
Aichinger E., Mayr P.
Independence of algebras with edge term, in: arXiv, Number 1504.02663, 2015.
Aichinger E., Mayr P.
Finitely generated equational classes, in: arXiv, Number arXiv:1403.7938, 2014.
Aichinger E., Mudrinski N.
Sequences of commutator operations, in: arXiv, Number arXiv:1205.3297, 2012.
Aichinger E., Mayr P., McKenzie R.
On the number of finite algebraic structures, in: arXiv, Number arXiv:1103.2265, 2011.

Publikationstyp: Handbuch (Erstauflage)

Aichinger E., Binder F., Ecker J., Eggetsberger R., Mayr P., Nöbauer C.
The Share Package "SONATA", 38 page(s), 1997.
Aichinger E., Binder F., Ecker J., Eggetsberger R., Mayr P., Nöbauer C.
9 easy pieces for "SONATA", 20 page(s), 1997.

Publikationstyp: Anderer Forschungsbericht / Technischer Bericht

Aichinger E.
The variety of near-rings is generated by its finite members, 2004.
Masulovic D., Aichinger E., Poeschel R., Wilson J.
Completeness for concrete near-rings, Technische Universitaet Dresden, 2002.
Aichinger E.
A linear system solver for Mathematica that uses SACLIB (Version 1.0), 1997.
Aichinger E., Binder F., Ecker J., Eggetsberger R., Mayr P., Nöbauer C.
SONATA - A system of near-rings and their applications, 5 page(s), 1997.

Publikationstyp: Dissertation

Aichinger E.
The Structure of Composition Algebras, 125 page(s), 1998.

Publikationstyp: Diplom- oder Masterarbeit

Aichinger E.
Interpolation with Near-rings of Polynomial Functions, 130 page(s), 1994.

Publikationstyp: Sonstige

Aichinger E., Binder F., Ecker J., Mayr P., Nöbauer C.
GAP package SONATA, 2003.