symmetric monoidal (∞,1)-category of spectra
For a commutative ring, a subset of its set of elements is called multiplicative if it is closed under multiplication “”in , hence if implies that , or equivalently, that forms a subsemigroup of . Usually one also demands that the unit element is in the set , or equivalently, that forms a submonoid of .
Every two-sided filter of a ring in a commutative ring is a multiplicative subset.
The localization of a commutative ring at a multiplicative subset exists, denoted or .
Last revised on July 3, 2022 at 18:35:59. See the history of this page for a list of all contributions to it.