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Linear equations and heights over division algebras
- Source :
-
Journal of Number Theory . Mar2004, Vol. 105 Issue 1, p101. 33p. - Publication Year :
- 2004
-
Abstract
- We make a start on the investigation of “small” solutions to systems of homogeneous linear equations over non-commutative division algebras. In this paper we prove some upper and lower bounds for the sizes of solutions to such systems. To measure solutions and coefficient matrices we define heights which satisfy natural invariance and finiteness properties. [Copyright &y& Elsevier]
- Subjects :
- *DIGITAL filters (Mathematics)
*ALGEBRA
*MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 105
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 12100490
- Full Text :
- https://doi.org/10.1016/j.jnt.2003.09.003