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Sophie Frisch

Ao.Univ.-Prof. Mag.rer.nat. Dr.techn.

1993 …2020

Research output per year

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Research Output

2020
Open Access

Simultaneous interpolation and P-adic approximation by integer-valued polynomials

Frisch, S., 2020, (Accepted/In press) Rings and Factorizations. Facchini, A., Fontana, M., Geroldinger, A. & Olberding, B. (eds.). Springer, Cham

Research output: Chapter in Book/Report/Conference proceedingChapter

2019

Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields

Frisch, S., Nakato, S. & Rissner, R., Jun 2019, In : Journal of algebra. 528, p. 231-249 13 p.

Research output: Contribution to journalArticle

Open Access
2018

On the spectrum of rings of functions

Frisch, S., 2018, In : Journal of pure and applied algebra. 10 p.

Research output: Contribution to journalArticle

Open Access

Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets

Frisch, S., 18 Dec 2018, Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU). EDP Sciences, 8 p. (ITM Web of Conferences; vol. 2018, no. 18).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Polynomial functions on upper triangular matrix algebras

Frisch, S., 2017, In : Monatshefte für Mathematik. 184, 2, 15 p.

Research output: Contribution to journalArticle

Open Access

Rings, Polynomials, and Modules

Frisch, S. (ed.), 2017, Springer International Publishing AG . 375 p.

Research output: Book/ReportAnthology

2016

Relative polynomial closure and monadically Krull monoids of integer-valued polynomials

Frisch, S., 2016, Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-Commutative Perspectives. Chapman, S., Fontana, M., Geroldinger, A. & Olberding, B. (eds.). Springer International Publishing AG , Vol. 170. p. 145-157 (Springer Proceedings in Mathematics & Statistics; vol. 170).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access

Relative polynomial closure and monadically Krull monoids of integer-valued polynomials

Frisch, S., 2016, Multiplicative Ideal Theory and Factorization Theory: Commutative and Non-commutative Perspectives. Chapman, S., Fontana, M., Geroldinger, A. & Olberding, B. (eds.). Springer International Publishing AG , p. 145-157 ( Springer Proceedings in Mathematics & Statistics; vol. 170).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2014

Commutative Algebra - Recent Advances in Commutative Rings, Integer-valued Polynomials, and Polynomial Functions

Frisch, S. (ed.), Fontana, M. (ed.) & Glaz, S. (ed.), 2014, 1 ed. Wien - New York: Springer.

Research output: Book/ReportBook

Open Problems in Commutative Ring Theory

Frisch, S., Glaz, S., Fontana, M. & Cahen, P-J., 2014, (Accepted/In press) Commutative Algebra - Recent Advances in Commutative Rings, Integer-valued Polynomials, and Polynomial Functions. 1 ed. New York: Springer

Research output: Chapter in Book/Report/Conference proceedingChapter

2013
Open Access
File

Integer-valued polynomials on algebras

Frisch, S., 2013, In : Journal of algebra. 373, 1, p. 414-425

Research output: Contribution to journalArticle

Sylow p-groups of polynomial permutations on the integers mod p^n

Frisch, S. & Krenn, D., 2013, In : Journal of Number Theory. 133, 12, p. 4188-4199

Research output: Contribution to journalArticle

2012

Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples

Frisch, S. & Vaserstein, L., 2012, In : Journal of pure and applied algebra. 216, 1, p. 184-191

Research output: Contribution to journalArticle

Open Access
File
2011

Integer-valued polynomials on algebras: a survey

Frisch, S., 2011, Third International Meeting on Integer-Valued Polynomials. Marseille: CIRM, Vol. 2 (2010) no 2. p. 27-32 (Actes des rencontres du CIRM).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File

Non-unique factorization of polynomials over residue class rings of the integers

Frisch, S. & Frei, C., 2011, In : Communications in Algebra. 39, 4, p. 1482-1490

Research output: Contribution to journalArticle

Open Access
File

Sylow $p$-groups of polynomial permutations on the integers mod $p^n$

Krenn, D. & Frisch, S., 2011, (Submitted) In : arXiv.org e-Print archive.

Research output: Contribution to journalArticle

2010

Polynomial parametrization of Pythagorean tuples

Frisch, S., Vaserstein, L. & Sakkalis, T., 2010, In : International Journal of Number Theory. 6, 6, p. 1261-1272

Research output: Contribution to journalArticle

2009

Polynomial parametrization of Pythagorean n-tuples

Frisch, S. & Vaserstein, L., 15 Jun 2009.

Research output: Contribution to conference(Old data) Lecture or Presentation

2008

Parametrization of Pythagorean triples by a single triple of polynomials

Frisch, S. & Vaserstein, L., 2008, In : Journal of pure and applied algebra. 212, 1, p. 271-274

Research output: Contribution to journalArticle

Open Access
File

Polynomial parametrization of the solutions of Diophantine equations of genus 0

Frisch, S. & Lettl, G., 2008, In : Functiones et approximatio. 39, 2, p. 205-209

Research output: Contribution to journalArticle

Open Access
File

Remarks on polynomial parametrization of sets of integer points

Frisch, S., 2008, In : Communications in Algebra. 36, 3, p. 1110-1114

Research output: Contribution to journalArticle

Open Access
File
2005

Polynomial separation of points in algebras

Frisch, S., 2005, Arithmetical Properties of Commutative Rings and Monoids. Chapman, S. T. (ed.). Boca Raton, London, New York, Singapore: Chapman & Hall / CRC, Vol. 241. p. 253-259 (Lect. Notes Pure Appl. Math).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2004

Integrally closed domains, minimal polynomials, and null ideals of matrices

Frisch, S., 2004, In : Communications in Algebra. 32, 5, p. 2015-2017

Research output: Contribution to journalArticle

Open Access
File
2001
Open Access
File
2000

Interpolation domains

Frisch, S., Cahen, P-J. & Chabert, J-L., 2000, In : Journal of algebra. 225, p. 794-803

Research output: Contribution to journalArticle

1999

Finitely Additive Measures on Groups and Rings

Frisch, S., Winkler, R., Tichy, R. & Pasteka, M., 1999, In : Rendiconti del Circolo Matematico di Palermo. 48, p. 323-340

Research output: Contribution to journalArticle

Interpolation by integer-valued polynomials

Frisch, S., 1999, In : Journal of algebra. 211, p. 562-577

Research output: Contribution to journalArticle

Polynomial functions on finite commutative rings

Frisch, S., 1999, Advances in Commutative Ring Theory. Dekker, Vol. 205. p. 323-336 (lecture notes in commutative ring theory).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1998

Binomial coefficients generalized with respect to a discrete valuation

Frisch, S., 1998, Applications of Fibonacci Numbers, vol 7. Dordrecht: Kluwer, Vol. 7. p. 133-144 (Applications of Fibonacci Numbers).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1997

On the minimal distance between group tables

Frisch, S., 1997, In : Acta scientiarum mathematicarum. 63, p. 341-351

Research output: Contribution to journalArticle

1996

Integer-valued polynomials on Krull rings

Frisch, S., 1996, In : Proceedings of the American Mathematical Society. 124, p. 3595-3604

Research output: Contribution to journalArticle

Substitution and closure of sets under integer-valued polynomials

Frisch, S., 1996, In : Journal of Number Theory. 56, p. 396-403

Research output: Contribution to journalArticle

1995

When are weak permutation polynomials strong?

Frisch, S., 1995, In : Finite fields and their applications. 1, 4, p. 437-439

Research output: Contribution to journalArticle

1994

Integer-valued polynomials on Krull rings

Frisch, S., 1994, VIII. Mathematikertreffen Zagreb-Graz. Graz: Inst. fuer Mathematik, Karl-Franzens-Universität Graz, Vol. 323. p. 33-42 (Grazer mathematische Berichte).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1993