Main Index
Algebraic structures
Ring theory
Commutative rings
Subject Index
comment on the page
The set of all prime ideals of a commutative ring with identity is called prime spectrum of
, and is denoted by
,
Let be commutative ring with identity. Let
be a subset of
. Let
be the set of all prime ideals
of
such that
.
We have:
These properties show that the elements of satisfy defining axioms of closed sets of a topological space. The corresponding topology on
is called Zariski topology.1
1 | Oscar Zariski (1899-1986) was one of the most influential algebraic geometers of the 20th century ![]() |
Cite this web-page as:
Štefan Porubský: Spectrum.