Signature Gröbner bases in free algebras over rings-Reference-Cited by-同舟云学术

Signature Gröbner bases in free algebras over rings

Published:2023-07-24 Issue: Volume: Page:
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Container-title:Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation
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Author:

Hofstadler Clemens¹^ORCID,Verron Thibaut²^ORCID

Affiliation:

1. University of Kassel, Germany

2. Johannes Kepler University, Austria

Funder

Austrian Science Fund

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3597066.3597071

Reference47 articles.

1. The diamond lemma for ring theory

2. Miguel Angel Borges and Mijail Borges . 1998. Gröbner Bases Property on Elimination Ideal in the Noncommutative Case . In Gröbner Bases and Applications . Cambridge University Press , 323–337. Miguel Angel Borges and Mijail Borges. 1998. Gröbner Bases Property on Elimination Ideal in the Noncommutative Case. In Gröbner Bases and Applications. Cambridge University Press, 323–337.

3. Bruno Buchberger . 1965. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal. Ph. D. Dissertation . University of Innsbruck , Austria. Bruno Buchberger. 1965. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal. Ph. D. Dissertation. University of Innsbruck, Austria.

4. Buchberger–Weispfenning theory for effective associative rings

5. Buchberger–Zacharias Theory of multivariate Ore extensions

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