View source for nonsmi

==== valsi ====
nonsmi
==== type ====
lujvo
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== time entered ====
Mon Mar  3 01:57:13 2014
 
== English ==
=== Definition #53135 - Preferred ===
 
==== definition ====

<span class="MATH"><i>x</i>1</span> is the zero(-like)/additive identity of structure/ring <span class="MATH"><i>x</i>2</span>; often is denoted by ' <span class="MATH">0<sub>R</sub></span> '  (for structure/ring R, specified by <span class="MATH"><i>x</i>2</span>) or by  '0' when context is obvious

==== 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. See also: [[pavysmi|pavysmi]]
==== gloss words ====

<ul><li>[[natlang/en/additive identity|additive identity ; ring theory]]</li><li>[[natlang/en/zero-like element|zero-like element ; ring theory]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
1
     
==== time ====
Mon Mar  3 02:06:47 2014



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=== Etymology ===