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» Challenges in Computational Commutative Algebra
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DAGSTUHL
2006
13 years 6 months ago
Challenges in Computational Commutative Algebra
In this paper we consider a number of challenges from the point of view of the CoCoA project one of whose tasks is to develop software specialized for computations in commutative a...
John Abbott
TCS
2008
13 years 5 months ago
The moving curve ideal and the Rees algebra
These are notes for a lecture given at Ohio University on June 3, 2006. An important topic in commutative algebra is the Rees algebra of an ideal in a commutative ring. The Rees al...
David A. Cox
ASIACRYPT
2004
Springer
13 years 10 months ago
The XL-Algorithm and a Conjecture from Commutative Algebra
The “XL-algorithm” is a computational method to solve overdetermined systems of polynomial equations which is based on a generalization of the well-known method of linearizatio...
Claus Diem
TCS
1998
13 years 5 months ago
Algebraic Translations, Correctness and Algebraic Compiler Construction
Algebraic translation methods are argued for in many fields of science. Several examples will be considered: from the field of compiler construction, database updates, concurren...
Theo M. V. Janssen
ICALP
2005
Springer
13 years 10 months ago
Petri Algebras
The firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural numbers. We identify a class of residuated commutative monoids, called Petri ...
Eric Badouel, Jules Chenou, Goulven Guillou