rng

<http://www.wikidata.org/entity/Q17102802>

algebraic structure similar to ring but not necessarily having a multiplicative identity

rdfs:label	"Pseudoanello"@ia "Ring"@de "Rng (aljabar)"@id "Rngas"@fi "pseudo-anneau"@fr "pseudoanell"@ca "pseudoanillo"@es "pseudoinel"@ro "psevdokolobar"@sl "psevdoring"@nn "pseŭdoringo"@eo "rng"@en "rng"@gl "rng"@pt "rng"@pt-br "Псевдопръстен"@bg "псевдокольцо"@ru "псэўдаколца"@be-tarask "חוג בלי יחידה"@he "رونگ (جبر)"@fa "ထပ်တူရမဲ့ကွင်း"@my "伪环"@zh "擬環"@ja "유사환"@ko
skos:altLabel	"anel non unitario"@gl "anel não unital"@pt "anel não unital"@pt-br "anell no unitari"@ca "anillo no unitario"@es "neenotski kolobar"@sl "non-unital ring"@en "nonunital ring"@en "pseudo-ring"@en "pseudoanel"@gl "pseudoanel"@pt "pseudoanel"@pt-br "pseudoring"@nn "ring"@en "ring"@nn "ringo sen unuo"@eo "неунитальное кольцо"@ru "חוג ללא יחידה"@he
schema:description	"algebraic structure similar to ring but not necessarily having a multiplicative identity"@en "anel sem uma identidade multiplicativa"@pt "anel sem uma identidade multiplicativa"@pt-br "anel sen identidade multiplicativa"@gl "anell sense l'element neutre de la multiplicació"@ca "anneau qui peut ne pas posséder d'unité pour la multiplication"@fr "inel, dar fără a fi necesar să conțină elementul neutru multiplicativ"@ro "kolobar, vendar ne nujno z multiplikativno identiteto"@sl "ring utan multiplikativ identitet"@nn "кольцо без мультипликативной единицы"@ru "곱셈 항등원을 가질 필요가 없는 환"@ko
schema:dateModified	"2026-09-08T10:48:58+00:00"^^xsd:dateTime
schema:version	2542201197
wikibase:identifiers	4
wikibase:sitelinks	12
wikibase:statements	17
p:P1889	wd:statement/Q17102802-9e96e4f5-4b1b-93bf-a570-ce09656738f7
	wd:statement/Q17102802-e0f7431f-4a3a-bd48-4a94-8fb39b9d46b8
p:P2534	wd:statement/Q17102802-D95930E8-0CEF-482C-BCC2-8BF8DFFFF983
p:P2579	wd:statement/Q17102802-39a5a1da-4c04-bb11-d262-7e70aafe4685
p:P279	wd:statement/Q17102802-cb7b06d9-4ec6-ca05-986c-7709f9a639ad
p:P361	wd:statement/Q17102802-863cb9ca-4d7b-37cf-7082-e2910181379b
p:P4215	wd:statement/Q17102802-5db44aae-47ca-38c9-3851-82659447d824
p:P527	wd:statement/Q17102802-486CA8C2-43C4-45EC-8F55-49A0A00EA3E3
	wd:statement/Q17102802-7369884F-6FB1-43A1-9D84-D33631C003E3
p:P646	wd:statement/Q17102802-0EA66CFF-F090-4902-9261-FFFE720065C3
p:P6781	wd:statement/Q17102802-facadfa5-4bc3-0137-bfc1-2c0c97a4332e
p:P7235	wd:statement/Q17102802-0BF8F232-3CE3-4E20-AA3B-A9C2DEE0083A
	wd:statement/Q17102802-6C752AB6-C244-428D-896C-F993D91847FE
	wd:statement/Q17102802-A9F12738-530E-48B7-8212-DB2B29C563B9
	wd:statement/Q17102802-AA9D7D44-2F28-4B46-8ADC-81E4E47C4BF5
	wd:statement/Q17102802-BAA9DFF3-7F06-407C-ACF4-4D60A84303F3
p:P8417	wd:statement/Q17102802-64008c6f-478a-95ce-3b4a-90fff1138779
wdt:P1889	ring
	pseudo-ring
wdt:P2534	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>t</mi></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">+</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy="false">+</mo><mi>s</mi></mtd><mtd><mo stretchy="false">=</mo><mi>s</mi><mo stretchy="false">+</mo><mi>r</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy="false">+</mo><mn>0</mn></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mi>r</mi><mo stretchy="false">)</mo></mtd><mtd><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mo stretchy="false">(</mo><mi>r</mi><mi>s</mi><mo stretchy="false">)</mo><mi>t</mi></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mo stretchy="false">(</mo><mi>s</mi><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">+</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mi>s</mi><mo stretchy="false">+</mo><mi>r</mi><mi>t</mi></mtd></mtr><mtr><mtd><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">)</mo><mi>t</mi></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mi>t</mi><mo stretchy="false">+</mo><mi>s</mi><mi>t</mi></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579	ring theory
wdt:P279	hemiring
wdt:P361	pseudo-ring
wdt:P4215	"nonunital ring"
wdt:P527	abelian group
	semigroup
wdt:P646	"/m/099rzr"
wdt:P6781	"Definition:Ring_(Abstract_Algebra)"
wdt:P7235	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">=</mo><mi>s</mi><mo stretchy="false">+</mo><mi>r</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>0</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">−</mo><mi>r</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mi>r</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">+</mo><mi>t</mi><mo stretchy="false">)</mo></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mi>s</mi><mo stretchy="false">+</mo><mi>r</mi><mi>t</mi></mtd></mtr><mtr><mtd><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">)</mo><mi>t</mi></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mi>t</mi><mo stretchy="false">+</mo><mi>s</mi><mi>t</mi></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">+</mo><mi>s</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>t</mi></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mo stretchy="false">+</mo><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">+</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mo stretchy="false">(</mo><mi>r</mi><mi>s</mi><mo stretchy="false">)</mo><mi>t</mi></mtd><mtd><mo stretchy="false">=</mo><mi>r</mi><mo stretchy="false">(</mo><mi>s</mi><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P8417	"Associative_ring"

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