The Study of theoretical aspects and practical aspect on Grobner Bases

考虑到持续性和国际化，本研究项目与计算交换代数、计算代数分析、计算代数统计、代数算法等多个领域的研究人员合作，大力开展了对Grobner基的理论有效性和实践有效性的研究，成功地奠定了Grobner基的现代理论基础。目前，为了使我们的研究小组在格罗布纳基地的理论和实践研究方面成为国际上最强大的立足点之一，由JST（日本科学技术振兴机构）支持的CREST研究项目“格罗布纳基地与现代工业社会的和谐”将遵循该研究项目。

With taking the persistence and the internationalization into consideration, in collaboration with many researchers in various field including computational commutative algebra, computational algebraic analysis, computational algebraic statistics as well as algebraic algorithm, this research project strongly developed the study on the theoretical effectivity and practical effectivity of Grobner bases and succeeded in establishing the foundations of the modern theory of Grobner bases. At present, in order for our research group to be one of the strongest international footholds on the theoretical and practical research of Grobner bases, the CREST research project "Harmony of Grobner bases and the modern industry society," whose team leader is Takayuki Hibi, which is supported by JST (Japan Science and Technology Agency) follows this research project.