Irreducible ideal：Is the radical of an irreducible ideal irreducible?
Is the radical of an irreducible ideal irreducible?
2012年2月6日—Istheradicalofanirreducibleidealirreducible?·Youmayfinditusefultoprovethefollowinglemma:theradicalofanyidealIisthe ...。其他文章還包含有：「$I$anirreducibleidealinaPIDisaprimeideal」、「Irreducibleideal」、「IrreducibleIdeal」、「irreducibleidealinnLab」、「Isanirreducibleidealalwaysaprimeidealinafinite...」、「Isanirreducibleidealin$R$irreduciblein$R[x]」、「Istheidealgeneratedby...
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$I$ an irreducible ideal in a PID is a prime ideal
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I an irreducible ideal in a PID is a prime ideal ... I is irreducible ideal of R when R is a PID , I want to show it's a prime ideal. ... Well ...
Irreducible ideal
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Irreducible ideal ... In mathematics, a proper ideal of a commutative ring is said to be irreducible if it cannot be written as the intersection of two strictly ...
Irreducible Ideal
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A proper ideal of a ring that is not the intersection of two ideals which properly contain it. In a principal ideal domain, the ideal I= is irreducible iff ...
irreducible ideal in nLab
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Definition 2.2. An ideal I I of R R is irreducible if, whenever I I equals the intersection of a finite list of ideals of R R , I I equals at ...
Is an irreducible ideal always a prime ideal in a finite ...
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Is an irreducible ideal always a prime ideal in a finite commutative ring? ... Let R a finite commutative unital ring. Prove that an ideal of R is ...
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Is an irreducible ideal in $R$ irreducible in $R[x]
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The answer to the question is yes since the number of irreducible components has a homological characterization which goes roughly as follows: ...
Is the ideal generated by an irreducible polynomial prime?
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@kahen gave a good example. Here is more detail, note that R[x] is the ring we look at. Also when there is no implication means there is a ...
Prime ideals and irreducible ideals
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Prime ideals and irreducible ideals ... I have the following definitions: An ideal I is prime if, whenever ab∈I, either a∈I or b∈I. An ideal J ...
不可約理想Irreducible Ideal
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