.. StdPairs documentation master file, created by sphinx-quickstart on Fri Feb 19 19:16:28 2021. You can adapt this file completely to your liking, but it should at least contain the root `toctree` directive. StdPairs ==================================== StdPairs is a library of SageMath that gives symbolic computation over a monomial ideal of an affine (non-normal) semigroup ring. In particular, it provides associate prime ideals, multiplicity, and irredundant irreducible primary decomposition of a monomial ideal. It implements algorithms in [MY2020]_. The source file can be found on the `github pages `_. .. toctree:: :maxdepth: 2 install api test support User Manual ----------------------------------- See Section 2 of [Yu2020]_ or `Module Contents <./api.html>`_. Copyright & License ------------------------------- StdPairs is Copyright (c) 2020 Byeongsu Yu. All Rights Reserved. Permission to modify and redistribute is granted under the terms of the GPL 3.0 license. See the `LICENSE.txt `_ file for the full license. Index ----------------- * :ref:`genindex` .. [MY2020] \Matusevich, Laura and Yu, Byeongsu. Standard pairs for monomial ideals in semigroup rings, arxiv:2005.10968, 2020. ``_ .. [Yu2020] \Yu, Byeongsu. Standard pairs of monomial ideals over non-normal affine semigroups in SageMath, arxiv:2010.08903, 2020. ``_