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Appendix B: Introduction to Macaulay2

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Part of the book series: Universitext ((UTX))

Abstract

The computer algebra system Macaulay2 is a powerful tool for understanding rings and ideals, among other things. This appendix introduces the basic syntax for this system, roughly following the topics of the previous appendix.

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Notes

  1. 1.

    One can also run Macaulay2 through emacs or texmacs. For in-depth computations, programming, etc., these options are usually preferable. See the link ‘getting started’ at the main Macaulay2 website http://www.math.uiuc.edu/Macaulay2/ for set-up instructions for these options.

  2. 2.

    Here we are referring to the primary carriage return key, which is marked ‘return’ on some keyboards and ‘enter’ on others.

  3. 3.

    The possibility of a tie means that the ‘orders’ that make up a block order need not satisfy the antisymmetry condition. However, as long as the last order in the list does satisfy antisymmetry, the resulting block order will indeed be a monomial order.

  4. 4.

    The website for Macaulay still exists: http://www.math.columbia.edu/~bayer/Macaulay/.

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Correspondence to Sean Sather-Wagstaff .

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Moore, W.F., Rogers, M., Sather-Wagstaff, S. (2018). Appendix B: Introduction to Macaulay2. In: Monomial Ideals and Their Decompositions. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-96876-6_9

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