|
|
|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
multiplicatively closed
|
(Definition)
|
|
"multiplicatively closed" is owned by CWoo.
|
|
(view preamble | get metadata)
See Also:  -system
| Also defines: |
saturated multiplicatively closed |
This object's parent.
|
|
Cross-references: binary operation, closure, multiplicative, prime, maximal element, chain, Zorn's lemma, poset, inclusion, order, generated by, principal ideal, conversely, implies, union, iff, commutative, group of units, contains, unital ring, divisor, maximal ideal, disjoint, ideal, prime ideal, commutative ring, unital, simple, integer, positive, multiplication, multiplicative set, subset, ring
There are 3 references to this entry.
This is version 3 of multiplicatively closed, born on 2007-08-18, modified 2007-10-13.
Object id is 9875, canonical name is MultiplicativelyClosed.
Accessed 1894 times total.
Classification:
| AMS MSC: | 13B30 (Commutative rings and algebras :: Ring extensions and related topics :: Quotients and localization) | | | 16U20 (Associative rings and algebras :: Conditions on elements :: Ore rings, multiplicative sets, Ore localization) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
