Regular sequence
Encyclopedia
In mathematics
, a regular sequence may be:
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, a regular sequence may be:
- Regular sequence (algebra)Regular sequence (algebra)In commutative algebra, if R is a commutative ring and M an R-module, a nonzero element r in R is called M-regular if r is not a zerodivisor on M, and M/rM is nonzero...
, in commutative algebra, a sequence of elements defining the depth of a module - Regular Cauchy sequence, in real analysis, a quickly converging Cauchy sequence