Zero element
Generalizations of '"`UNIQ--math-00000046-QINU`"' in algebraic structures
Summary
In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures. These alternate meanings may or may not reduce to the same thing, depending on the context.
Originally created by Dvorak729
12/20/2005, 2:54:20 AM
Modified
1/30/2026, 5:25:55 PM
Recent revisions
updated formatting to use more latex
follow [[Wikipedia:Manual of Style/Dates and numbers]] for spacing around "×"
Reverted 1 edit by [[Special:Contributions/2600:6C40:7400:F6B:878:DA45:BB82:F6B0|2600:6C40:7400:F6B:878:DA45:BB82:F6B0]] ([[User talk:2600:6C40:7400:F6B:878:DA45:BB82:F6B0|talk]]) to last revision by Citation bot
Q
Added bibcode. | [[:en:WP:UCB|Use this bot]]. [[:en:WP:DBUG|Report bugs]]. | Suggested by Dominic3203 | [[Category:0 (number)]] | #UCB_Category 16/41
[[MOS:BOLDREDIRECT]] and [[MOS:ITALICTERM]]
Undid revision [[Special:Diff/1239989780|1239989780]] by [[Special:Contributions/74.196.16.3|74.196.16.3]] ([[User talk:74.196.16.3|talk]])
/* Additive identities */ only monoids haveo ne
/* Additive identities */set union on (finite) sets is only a semigroup
/* Zero tensor */again a special case
/* Zero matrix */make explicit that it's a special case of the above
/* Additive identities */not always normed
Tag as [[WP:SIA]] as that is seemingly what the page is about. If that is determined by others to be false, please revert.
/* Additive identities */ a better source, the previous one don't mention about additive inverse of zero vector...
/* Zero matrix */ source for zero matrix, taking the source from the article [[Zero matrix]] and some changes
forgot the title
/* Additive identities */ better source
Adding local [[Wikipedia:Short description|short description]]: "Generalizations of 0 in algebraic structures", overriding Wikidata description "one of several generalizations of the number zero to other algebraic structures"
/* Zero objects */ added wikilink
