ring
algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity
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ring
Summary
ring ranks in the top 2% of general entities by monthly Wikipedia readership (339 views/month).[1]
Key Facts
- ring's GND ID is recorded as 4128084-2[2].
- ring's Library of Congress authority ID is recorded as sh85114140[3].
- ring's Bibliothèque nationale de France ID is recorded as 131630283[4].
- ring's subclass of is recorded as nonassociative ring[5].
- ring's subclass of is recorded as semiring[6].
- ring's subclass of is recorded as rng[7].
- ring's BNCF Thesaurus ID is recorded as 18029[8].
- ring's has part is recorded as additive identity[9].
- ring's has part is recorded as multiplicative identity[10].
- ring's Freebase ID is recorded as /m/0cyyp[11].
- ring's Freebase ID is recorded as /m/05wc5n[12].
- ring's NL CR AUT ID is recorded as ph126754[13].
- ring's topic's main category is recorded as Category:Rings (mathematics)[14].
- ring's National Library of Spain SpMaBN ID is recorded as XX531097[15].
- ring's Dewey Decimal Classification is recorded as 512.4[16].
- ring's OmegaWiki Defined Meaning is recorded as 384031[17].
- ring's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[18].
- ring's Encyclopædia Britannica Online ID is recorded as topic/ring-mathematics[19].
- ring's Encyclopædia Britannica Online ID is recorded as topic/ring-with-unity[20].
- ring's different from is recorded as rng[21].
- ring's different from is recorded as nonassociative ring[22].
- ring's FAST ID is recorded as 1098024[23].
- ring's defining formula is recorded as \begin{aligned}(r+s)+t&=r+(s+t)\r+s&=s+r\r+0&=r\r+(-r)&=0\(rs)t&=r(st)\1r=r1&=r\r(s+t)&=rs+rt\(r+s)t&=rt+st\end{aligned}[24].
- ring's studied by is recorded as ring theory[25].
- ring's BabelNet ID is recorded as 03258622n[26].
Why It Matters
ring ranks in the top 2% of general entities by monthly Wikipedia readership (339 views/month).[1] ring has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[27] ring is known by 19 alternative names across languages and contexts.[28]