2.3 Getting started

SINGULAR is a special purpose system for polynomial computations. Hence, most of the powerful computations in SINGULAR require the prior definition of a ring. Most important rings are polynomial rings over a field, localizations hereof, or quotient rings of such rings modulo an ideal. However, some simple computations with integers (machine integers of limited size) and manipulations of strings are available without a ring.

2.3.1 First steps
2.3.2 Rings and standard bases
2.3.3 Procedures and libraries
2.3.4 Change of rings
2.3.5 Modules and their annihilator
2.3.6 Resolution