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Anello (algebra)

De Wikipedia, le encyclopedia libere
Richard Dedekind (1831-1916) era un fundator del theoria de anellos

Unanello[1] es unstructura algebric que compone se de uninsimul e duo operationes.

Un anello(R,+,⋅){\displaystyle (R,+,\cdot )} es un insimulR{\displaystyle R} con duooperationes binari+{\displaystyle +} e⋅{\displaystyle \cdot } tal que

a⋅(b+c)=a⋅b+a⋅c{\displaystyle a\cdot (b+c)=a\cdot b+a\cdot c} e(a+b)⋅c=a⋅c+b⋅c{\displaystyle (a+b)\cdot c=a\cdot c+b\cdot c} pro omnea,b,c∈R{\displaystyle a,b,c\in R}.

Leelemento neutre0{\displaystyle 0} de(R,+){\displaystyle \left(R,+\right)} es nominate le elemento absorbente del anelloR{\displaystyle R}.

Anellos commutative

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Un anello es nominatecommutative, si illo es commutative relative almultiplication, alteremente illo esnon-commutative.

Exemplos de anellos commutative es lenumeros integre(Z,+,⋅){\displaystyle (\mathbb {Z} ,+,\cdot )} e lenumeros rational(Q,+,⋅){\displaystyle (\mathbb {Q} ,+,\cdot )}.

Vide etiam

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Referentias

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  1. ↑Derivation (in ordine alphabetic):(ca) Anell (matemàtiques) ||(de) Ring (Algebra) ||(en) Ring (mathematics) ||(es) Anillo (matemática) ||(fr) Anneau (mathématiques) ||(it) Anello (algebra) ||(pt) Anel (matemática) ||(ro) Inel (matematică)||(ru) Кольцо (математика)
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