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\iteman{io-port 06084889}
\itemau{Yokoyama, Kazuhiro}
\itemti{Usage of modular techniques for efficient computation of ideal operations. (Invited talk).}
\itemso{Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 14th international workshop, CASC 2012, Maribor, Slovenia, September 3--6, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-32972-2/pbk). Lecture Notes in Computer Science 7442, 361-362 (2012).}
\itemab
Summary: Modular techniques are widely applied to various algebraic computations. (See [5] for basic modular techniques applied to polynomial computations.) In this talk, we discuss how modular techniques are efficiently applied to computation of various ideal operations such as Gr\"obner base computation and ideal decompositions. Here, by modular techniques we mean techniques using certain projections for improving the efficiency of the total computation, and by modular computations, we mean corresponding computations applied to projected images.
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\itemli{doi:10.1007/978-3-642-32973-9\_30}
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