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pro vyhledávání: '"Hashemi, Amir"'
Autor:
Hashemi, Amir, Ollivier, François
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G3, Pp 255-264 (2022)
We generalize the analog of Buchberger’s first criterion, stated by Boulier et al., for detecting useless S-polynomials reductions in the computation of characteristic sets of differential ideals. The original version assumes linear polynomials; th
Externí odkaz:
https://doaj.org/article/13c20835a5c34cfa8d448ff12836bee0
Publikováno v:
In Journal of Symbolic Computation January-February 2025 126
Autor:
Hashemi, Amir, Ezati, Masoumeh, Zumberg, Inna, Vicar, Tomas, Chmelikova, Larisa, Cmiel, Vratislav, Provaznik, Valentine
Publikováno v:
In Materials Today Communications August 2024 40
Autor:
Hashemi, Amir, Ollivier, François
Publikováno v:
Comptes Rendus Math\'ematique 360 (2022) 255-264
We generalize the analog of Buchberger's first criterion, stated by Boulier et al., for detecting useless S-polynomials reductions in the computation of characteristic sets of differential ideals. The original version assumes linear polynomials; this
Externí odkaz:
http://arxiv.org/abs/2107.01909
Autor:
Hashemi, Amir, Kapur, Deepak
Publikováno v:
In Journal of Symbolic Computation May-June 2025 128
Akademický článek
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Publikováno v:
In Journal of Symbolic Computation September-October 2023 118:32-68
Autor:
Hashemi, Amir, Michael Möller, H.
Publikováno v:
In Journal of Symbolic Computation July-August 2023 117:1-14
Publikováno v:
Lecture Notes in Computer Science, Volume 11077, pages 51--66, 2018
We investigate the application of syzygies for efficiently computing (finite) Pommaret bases. For this purpose, we first describe a non-trivial variant of Gerdt's algorithm to construct an involutive basis for the input ideal as well as an involutive
Externí odkaz:
http://arxiv.org/abs/1809.10971
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing, Volume 29, Issue 4, pages 283--301, 2018
In this paper, we study first the relationship between Pommaret bases and Hilbert series. Given a finite Pommaret basis, we derive new explicit formulas for the Hilbert series and for the degree of the ideal generated by it which exhibit more clearly
Externí odkaz:
http://arxiv.org/abs/1809.10964