К первой паре / Algebra. Lecture 10. Grobner system, Buchberger criterion and Hilbert's theorem

In the tenth lecture on algebra, Dmitry Trushin, associate professor of the Applied Data Analysis undergraduate program, reminds about the Gröbner system and the Buchberger criterion. He also explains the theorem on three equivalent conditions for Gröbner bases, Hilbert's theorem on the ideal basis and the lemma on the finiteness of chains of uninomials. More information about the program can be found at: https://www.hse.ru/ba/ami?utm_source=youtube&utm_medium=vyshkaonline&utm_campaign=ami_ba. Computer Science Faculty YouTube channel: https://www.youtube.com/channel/UCumWurUBD-fUDxrlG0UvuyQ Follow the news of the Faculty of Computer Science in social networks: Faculty of Computer Science on VC: https://vc.ru/u/939867-fkn-vshe 🔗 Follow Vyshka Online on our social media channels: 🧘 We're on Zen: https://dzen.ru/hseonline 🧑🏻💻 Our VC blog: https://vc.ru/u/1427995-vyshka-onlayn