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...
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...
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...
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...
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...