Algorithmic questions in rings of rational matrices

Authors
Sims, CC
Citation
Cc. Sims, Algorithmic questions in rings of rational matrices, J AUS MAT A, 67, 1999, pp. 380-398
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
67
Year of publication
1999
Part
3
Pages
380 - 398
Database
ISI
SICI code
0263-6115(199912)67:<380:AQIROR>2.0.ZU;2-P
Abstract
This paper discusses several algorithmic problems related to rings of ratio nal matrices. It provides solutions to these problems in the commutative ca se and points out some of the difficulties to be overcome in the general ca se. A connection with attempts to construct Grobner bases for ideals in fre e rings is also illustrated.