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TCS
2008
13 years 7 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
MFCS
2007
Springer
14 years 1 months ago
Semisimple Algebras of Almost Minimal Rank over the Reals
Abstract. A famous lower bound for the bilinear complexity of the multiplication in associative algebras is the Alder–Strassen bound. Algebras for which this bound is tight are c...
Markus Bläser, Andreas Meyer de Voltaire
CSJM
2008
55views more  CSJM 2008»
13 years 7 months ago
Computing one of Victor Moll's irresistible integrals with computer algebra
We investigate a certain quartic integral from V. Moll's book "Irresistible Integrals" and demonstrate how it can be solved by computer algebra methods, namely by u...
Christoph Koutschan, Viktor Levandovskyy
LOGCOM
2010
85views more  LOGCOM 2010»
13 years 5 months ago
The Logic of Quasi-MV Algebras
The algebraic theory of quasi-MV algebras, generalisations of MV algebras arising in quantum computation, is by now rather well-developed. Although it is possible to define sever...
Félix Bou, Francesco Paoli, Antonio Ledda, ...
MOC
1998
94views more  MOC 1998»
13 years 7 months ago
Numerical calculation of the multiplicity of a solution to algebraic equations
A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the m...
Hidetsune Kobayashi, Hideo Suzuki, Yoshihiko Sakai