On Gröbner bases over rings and residue class polynomial rings with torsion-Reference-Cited by-同舟云学术

On Gröbner bases over rings and residue class polynomial rings with torsion

Published:2015-08-14 Issue:2 Volume:49 Page:60-61
ISSN:1932-2240
Container-title:ACM Communications in Computer Algebra
language:en
Short-container-title:ACM Commun. Comput. Algebra

Author:

Dukkipati Ambedkar¹,Pai Nithish¹,Francis Maria¹,Dubey Abhishek¹

Affiliation:

1. Indian Institute of Science, Bangalore, India

Publisher

Association for Computing Machinery (ACM)

Reference5 articles.

1. B. Buchberger. An Algorithm for Finding a Basis for the Residue Class Ring of a Zero-Dimensional Polynomial Ideal (in German). Ph.D. thesis University of Innsbruck Austria. (reprinted in Buchberger (2006)). B. Buchberger. An Algorithm for Finding a Basis for the Residue Class Ring of a Zero-Dimensional Polynomial Ideal (in German). Ph.D. thesis University of Innsbruck Austria. (reprinted in Buchberger (2006)).

2. B. Buchberger. Bruno Buchberger's phd thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Journal of Symbolic Computation 41 475--51 2006. 10.1016/j.jsc.2005.09.007 B. Buchberger. Bruno Buchberger's phd thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Journal of Symbolic Computation 41 475--51 2006. 10.1016/j.jsc.2005.09.007

3. A. Dukkipati N. Pai M. Francis & A. Dubey. Macaulay-Buchberger basis theorem for residue class rings with torsion and border bases over rings Preprint available at http://arxiv.org/abs/1405.0472 2014. A. Dukkipati N. Pai M. Francis & A. Dubey. Macaulay-Buchberger basis theorem for residue class rings with torsion and border bases over rings Preprint available at http://arxiv.org/abs/1405.0472 2014.

4. Reduced Gröbner bases and Macaulay–Buchberger Basis Theorem over Noetherian rings