Artinian ideal
In abstract algebra, an Artinian ideal, named after Emil Artin, is encountered in ring theory, in particular, with polynomial rings. Given a polynomial ring R = k[X1, ... Xn] where k is some field, an Artinian ideal is an ideal I in R for which the Krull dimension of the quotient ring R/I is 0. Also, less precisely, one can think of an Artinian ideal as one that has at least each indeterminate in R raised to a power greater than 0 as a generator.
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Artinian ideal
In abstract algebra, an Artinian ideal, named after Emil Artin, is encountered in ring theory, in particular, with polynomial rings. Given a polynomial ring R = k[X1, ... Xn] where k is some field, an Artinian ideal is an ideal I in R for which the Krull dimension of the quotient ring R/I is 0. Also, less precisely, one can think of an Artinian ideal as one that has at least each indeterminate in R raised to a power greater than 0 as a generator.
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En álgebra abstracta, un ideal ...... uación se muestra un ejemplo.
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In abstract algebra, an Artini ...... gin with. An example is below.
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En álgebra abstracta, un ideal ...... ia mayor que 0 como generador.
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In abstract algebra, an Artini ...... greater than 0 as a generator.
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Artinian ideal
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Ideal artiniano
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