Clonoids: a unifying approach to equational logic and clones

Search results

• 2021

  Chevalley-Warning type results on abelian groups

  Aichinger, E. & Moosbauer, J., Mar 2021, In: Journal of Algebra. 569, p. 30-66 37 p.

  Research output: Contribution to journal › Article › peer-review

• Closed sets of finitary functions between products of finite fields of coprime order

  Fioravanti, S., Nov 2021, In: Algebra Universalis. 82, 4, p. Paper No. 61 12 p., 61.

  Research output: Contribution to journal › Article › peer-review

• Expansions of abelian square-free groups

  Fioravanti, S., Jun 2021, In: International Journal of Algebra and Computation. 31, 4, p. 623-638 16 p.

  Research output: Contribution to journal › Article › peer-review

• Mal’cev conditions corresponding to identities for compatible reflexive relations

  Fioravanti, S., Feb 2021, In: Algebra Universalis. 82, 1, p. paper no. 10 12 p., 10.

  Research output: Contribution to journal › Article › peer-review

• Solving a fixed number of equations over finite groups

  Nuspl, P., Feb 2021, In: Algebra Universalis. 82, 1, p. paper no. 12 13 p., 12.

  Research output: Contribution to journal › Article › peer-review

• The lattice of monomial clones on finite fields

  Kreinecker, S., Nov 2021, In: Algebra Universalis. 82, 4, p. Article number 53 31 p., 53.

  Research output: Contribution to journal › Article › peer-review

• 2020

  A clonoid based approach to some finiteness results in universal algebraic geometry

  Aichinger, E. & Rossi, B., 01 Feb 2020, In: Algebra Universalis. 81, 1, p. 81:8:1-7 7 p., 8.

  Research output: Contribution to journal › Article › peer-review

• Clones containing the Mal'cev operation of Z_pq

  Fioravanti, S., Jun 2020, 23 p. (arXiv.org; no. 2006.00291).

  Research output: Working paper and reports › Preprint

• Clonoids, clones, and Mal'cev conditions

  Fioravanti, S., May 2020, 125 p.

  Research output: Thesis › Doctoral thesis

• Closed sets of finitary functions between finite fields of coprime order

  Fioravanti, S., 01 Nov 2020, In: Algebra Universalis. 81, 4, p. paper no 52 14 p., 52.

  Research output: Contribution to journal › Article › peer-review

• Closed sets of finitary functions between products of finite fields of pair-wise coprime order

  Fioravanti, S., Sept 2020, 12 p. (arXiv.org; no. 2009.02237).

  Research output: Working paper and reports › Preprint

• Closed sets of functions on algebras of prime power order

  Kreinecker, S., May 2020, 142 p.

  Research output: Thesis › Doctoral thesis

• Completeness properties for functions on groups

  Lichtenberger, L., Jan 2020, 43 p.

  Research output: Thesis › Master's / Diploma thesis

• Congruence preserving expansions of nilpotent algebras

  Aichinger, E. & Horvath, G., 01 Feb 2020, In: International Journal of Algebra and Computation. 30, 1, p. 167-179 13 p.

  Research output: Contribution to journal › Article › peer-review

• Dickson’s Lemma, Higman’s Theorem and Beyond: A survey of some basic results in order theory

  Aichinger, E. & Aichinger, F., Dec 2020, In: Expositiones Mathematicae. 38, 4, p. 537-547 11 p.

  Research output: Contribution to journal › Article › peer-review

• Distribution and generalized centre in planar nearrings

  Boykett, T., 2020, In: Acta Scientiarum Mathematicarum (Szeged). 86, 1-2, p. 11-29 19 p.

  Research output: Contribution to journal › Article › peer-review

• Expansions of abelian squarefree groups

  Fioravanti, S., Sept 2020, 18 p. (arXiv.org; no. 2009.08256).

  Research output: Working paper and reports › Preprint

• Generating integer polynomials from X ² and X ³ using function composition: a study of subnearrings of (ℤ[X], +, ◦)

  Aichinger, E. & Kreinecker, S., 2020, In: Quaestiones Mathematicae. 44, p. 693-715 23 p.

  Research output: Contribution to journal › Article › peer-review

• Mal'cev conditions corresponding to identities for compatible reflexive relations

  Fioravanti, S., Jun 2020, 12 p. (arXiv.org; no. 2006.00291).

  Research output: Working paper and reports › Preprint

• Maximality of reversible gate sets

  Boykett, T., Feb 2020, 10 p. (arXiv.org; no. 2002.02899).

  Research output: Working paper and reports › Preprint

• Maximality of Reversible Gate Sets

  Boykett, T., 2020, Reversible Computation 12th International Conference, RC 2020 Oslo, Norway, July 9–10, 2020 Proceedings. I. Lanese and M. Rawski (ed.). Springer Nature, Vol. 12227. p. 206 12 p. (Lecture Notes in Computer Science (LNCS)).

  Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

• On the convergence rate of the fraction of simple algebras

  Aichinger, F., 01 Nov 2020, In: Algebra Universalis. 81, 4, p. 1-8 8 p., 58.

  Research output: Contribution to journal › Article › peer-review

• Probability in universal algebra

  Aichinger, F., Jun 2020, 47 p.

  Research output: Thesis › Master's / Diploma thesis

• Solving Systems of Equations of Fixed Size over Finite groups

  Nuspl, P., May 2020, 39 p.

  Research output: Thesis › Master's / Diploma thesis

• The lattice of monomial clones on finite fields

  Kreinecker, S., Apr 2020, 31 p. (arXiv.org; no. 2004.08840).

  Research output: Working paper and reports › Preprint

• 2019

  A clonoid based approach to some finiteness results in universal algebraic geometry

  Aichinger, E. & Rossi, B., Sept 2019, 6 p. (arXiv.org; no. arXiv:1909.10232).

  Research output: Working paper and reports › Preprint

• Bounding the free spectrum of nilpotent algebras of prime power order

  Aichinger, E., 01 Mar 2019, In: Israel Journal of Mathematics. 230, 2, p. 919-947 29 p.

  Research output: Contribution to journal › Article › peer-review

• Chevalley Warning Theorems on abelian groups

  Moosbauer, J., Dec 2019, 52 p.

  Research output: Thesis › Master's / Diploma thesis

• Chevalley Warning type results on abelian groups

  Aichinger, E. & Moosbauer, J., Dec 2019, 30 p. (arXiv.org; no. 1912.08448).

  Research output: Working paper and reports › Preprint

• Closed Function Sets on Groups of Prime Order

  Kreinecker, S., 2019, In: Journal of Multiple-Valued Logic and Soft Computing (MVLSC). 33, 1-2, p. 51-74 24 p.

  Research output: Contribution to journal › Article › peer-review

• Closed sets of finitary functions between finite fields of coprime order

  Fioravanti, S., Aug 2019, 16 p. (arXiv.org).

  Research output: Working paper and reports › Preprint

• Closed Systems of Invertible Maps

  Boykett, T., 2019, In: Journal of Multiple-Valued Logic and Soft Computing (MVLSC). 32, 5-6, p. 565-605 41 p.

  Research output: Contribution to journal › Article › peer-review

• Congruence preserving expansions of nilpotent algebras

  Aichinger, E. & Horvath, G., Mar 2019, 13 p. (arXiv.org; no. arXiv:1903.07148).

  Research output: Working paper and reports › Preprint

• On invertible matrices over a near-field

  Boykett, T., Ke, W.-F. & Meyer, J. H., 15 May 2019, In: Journal of Algebra. 526, p. 345-355 11 p.

  Research output: Contribution to journal › Article › peer-review

• Solving systems of equations in supernilpotent algebras

  Aichinger, E., Jan 2019, 11 p. (arXiv.org; no. arXiv:1901.07862v1).

  Research output: Working paper and reports › Preprint

• Solving Systems of Equations in Supernilpotent Algebras

  Aichinger, E., Aug 2019, 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019). Katoen, J.-P., Heggernes, P. & Rossmanith, P. (eds.). Dagstuhl, Germany: Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik, Vol. 138. p. 72:1-72:9 9 p. 72. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 138).

  Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

• 2018

  Closed function sets on groups of prime order

  Kreinecker, S., Oct 2018, 21 p. (arXiv.org; no. 1810.09175).

  Research output: Working paper and reports › Preprint

• Complexity of term representations of finitary functions

  Aichinger, E., Mudrinski, N. & Oprsal, J., 01 Sept 2018, In: International Journal of Algebra and Computation. 28, 6, p. 1101-1118 18 p.

  Research output: Contribution to journal › Article › peer-review

• Congruence lattices forcing nilpotency

  Aichinger, E., 01 Feb 2018, In: Journal of Algebra and its Applications. 17, 2, p. 1850033-1 - 1850033-24 24 p., 1850033.

  Research output: Contribution to journal › Article › peer-review

• Deciding Presburger Arithmetic Using Automata Theory

  Kliemann, F., Oct 2018, 165 p.

  Research output: Thesis › Master's / Diploma thesis

• Dickson's Lemma, Higman's Theorem and Beyond: a survey of some basic results in order theory

  Aichinger, E. & Aichinger, F., Dec 2018, 12 p. (arXiv.org; no. arXiv:1812.03024).

  Research output: Working paper and reports › Preprint

• GAP package Predicata - Deciding Presburger Arithmetic Using Automata Theory

  Kliemann, F., Oct 2018, 1 p.

  Research output: Other contribution

• Rings of congruence preserving functions

  Maxson, C. J. & Renetseder-Saxinger, F., 01 Nov 2018, In: Monatshefte für Mathematik. 187, 3, p. 531-542 12 p.

  Research output: Contribution to journal › Article › peer-review

• 2017

  Complexity of term representations of finitary functions

  Aichinger, E., Mudrinski, N. & Oprsal, J., Sept 2017, 13 p. (arXiv.org; no. arXiv:1709.01759).

  Research output: Working paper and reports › Preprint

• Generating integer polynomials using function composition

  Kreinecker, S., Apr 2017

  Research output: Thesis › Master's / Diploma thesis

• Nearringgenerator

  Kreinecker, S., 2017, 1 p.

  Research output: Other contribution

• On the local closure of clones on countable sets

  Aichinger, E., 01 Nov 2017, In: Algebra Universalis. 78, 3, p. 355-361 7 p.

  Research output: Contribution to journal › Article › peer-review

• Subnearrings of (Z[x],+,o)

  Aichinger, E. & Kreinecker, S., Sept 2017, 22 p. (arXiv.org; no. arXiv:1709.01345).

  Research output: Working paper and reports › Preprint