Groebner Bases for Everyone with CoCoA-5 and CoCoALib
Groebner Bases for Everyone with CoCoA-5 and CoCoALib
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Groebner 为每个人提供 CoCoA-5 和 CoCoALib 基础
DOI：
10.2969/aspm/07710001
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Anna Maria Bigatti
中科院分区：
文献类型：
--
作者：
J. Abbott;Anna Maria Bigatti
我们对 Groebner 基础的发展进行了一项调查，显示了 CoCoA 中的明确例子。 CoCoA 项目可以追溯到 1987 年：其目标是创建一个数学家友好的实验室，用于研究交换代数，尤其是 Groebner 基。从那时起，它始终保持着这种“友好”的传统，不断发展并被彻底改写。 CoCoA 为所有级别的兴趣提供了 Groebner 基础：从交互式系统 CoCoA-5 中的基本快速调用，到针对特定问题的优化实现，再到与开源 C++ 软件库 CoCoALib 或基于 OpenMath 的原型服务器的计算机-计算机通信。 CoCoALib 和 CoCoA-5 的开放性和简洁设计旨在提供不同级别的使用，并鼓励外部贡献。
We present a survey on the developments on Groebner bases showing explicit examples in CoCoA. The CoCoA project dates back to 1987: its aim was to create a mathematician-friendly laboratory for studying Commutative Algebra, most especially Groebner bases. Since then, always maintaining this "friendly" tradition, it has evolved and has been completely rewritten. CoCoA offers Groebner bases for all levels of interest: from the basic quick call in the interactive system CoCoA-5, to problem-specific optimized implementations, to the computer--computer communication with the open source C++ software library, CoCoALib, or the prototype OpenMath-based server. The openness and clean design of CoCoALib and CoCoA-5 are intended to offer different levels of usage, and to encourage external contributions.