pavysmi

valsi

pavysmi

type

lujvo

creator

krtisfranks

time entered

Mon Mar 3 02:05:45 2014  

English

Definition #53136 - Preferred

 

definition

x1 is the one(-like) element/multiplicative identity of structure/ring x2; often is denoted by ' 1_R ' or ' I_R ' or by (when context is obvious) '1' or 'I', for structure/ring R (given by x2).

notes

Definition and rules may be specified in the second terbri; this definition does not suppose that the ring is not the 0-ring (the trivial ring) with the mapping of all multiplications to 0 (in which case, the additive identity is also the multiplicative identity). The usage of "additive" and "multiplicative" in this context are defined by the ring. The n�n identity matrix over a given ring is an example of one such element. See also: nonsmi

gloss words

• multiplicative identity ; ring theory
• one-like element ; ring theory

created by

krtisfranks

vote information

1

time

Mon Mar 3 02:07:55 2014

Examples

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