Details:
Title | Applications of strong Gr\"obner bases over Euclidean domains. | Author(s) | Daniel Lichtblau | Type | Article in Journal | Abstract | Strong Gr ̈
obner bases over Euclidean domains and even more general rings
were first defined in the 1980s. Since that time, efficient ways to compute
them, and a variety of applications, have appeared. In this note we show, via
simple examples, applications to solving equations in quotient rings, Hensel
lifting, Hermite normal form computations, reduction of univariate polynomial
lattices, and finding small generators in quadratic number rings | Keywords | Gr ̈ obner basis, Euclidean domain, Hensel lifting, Hermite normal form, linear diophantine systems, lattice reduction, Popov form | ISSN | 1312-8868; 1314-7595/e |
File |
| URL |
http://www.m-hikari.com/ija/ija-2013/ija-5-8-2013/lichtblauIJA5-8-2013.pdf |
Language | English | Journal | Int. J. Algebra | Volume | 7 | Number | 5-8 | Pages | 369--390 | Publisher | Hikari, Ruse | Year | 2013 | Edition | 0 | Translation |
No | Refereed |
No |
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