@inproceedings{ab46a389991b4e2c9bc0623077b6931d,
title = "Effective Localization Using Double Ideal Quotient and Its Implementation",
abstract = "In this paper, we propose a new method for localization of polynomial ideal, which we call “Local Primary Algorithm”. For an ideal I and a prime ideal P, our method computes a P-primary component of I after checking if P is associated with I by using double ideal quotient (I{\^A} :{\^A} (I{\^A} :{\^A} P)) and its variants which give us a lot of information about localization of I.",
keywords = "Gr{\"o}bner basis, Localization, Primary decomposition",
author = "Yuki Ishihara and Kazuhiro Yokoyama",
note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.; 20th International Workshop on Computer Algebra in Scientific Computing, CASC 2018 ; Conference date: 17-09-2018 Through 21-09-2018",
year = "2018",
doi = "10.1007/978-3-319-99639-4\_19",
language = "English",
isbn = "9783319996387",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "272--287",
editor = "Wolfram Koepf and Seiler, \{Werner M.\} and Gerdt, \{Vladimir P.\} and Vorozhtsov, \{Evgenii V.\}",
booktitle = "Computer Algebra in Scientific Computing - 20th International Workshop, CASC 2018, Proceedings",
}