Ring extension
In commutative algebra, a ring extension is a ring homomorphism of commutative rings, which makes S an R-algebra. In this article, a ring extension of a ring R by an abelian group I is a pair of a ring E and a surjective ring homomorphism such that I is isomorphic (as an abelian group) to the kernel of In other words, is a short exact sequence of abelian groups. (This makes I a two-sided ideal of E.) Given a commutative ring A, an A-extension is defined in the same way by replacing "ring" with "algebra over A" and "abelian groups" with "A-modules".
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Ring extension
In commutative algebra, a ring extension is a ring homomorphism of commutative rings, which makes S an R-algebra. In this article, a ring extension of a ring R by an abelian group I is a pair of a ring E and a surjective ring homomorphism such that I is isomorphic (as an abelian group) to the kernel of In other words, is a short exact sequence of abelian groups. (This makes I a two-sided ideal of E.) Given a commutative ring A, an A-extension is defined in the same way by replacing "ring" with "algebra over A" and "abelian groups" with "A-modules".
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En matematiko, pli aparte en r ...... P kuŝas super p se P ∩ S = p.
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In commutative algebra, a ring ...... re is a morphism between them.
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In de ringtheorie, een deelgeb ...... wanneer R niet-commutatief is.
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In teoria degli anelli, una br ...... R/K è un'estensione di campi.
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En matematiko, pli aparte en r ...... P kuŝas super p se P ∩ S = p.
@eo
In commutative algebra, a ring ...... lian groups" with "A-modules".
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In de ringtheorie, een deelgeb ...... wanneer R niet-commutatief is.
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In teoria degli anelli, una br ...... nello (somma e prodotto) di R.
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Estensione di anelli
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Ring extension
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Ringa vastigaĵo
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Ringuitbreiding
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