List questions from ideals

685

Views

Show that the ideal $(XY+XZ+YZ,XYZ) = (X,Y)(Y,Z)(X,Z)$ and the irreducibility of the vanishing sets of the factors.

Published on 02 May 2026 - 20:09

608

Views

Computing the norms of a non-principal ideal in $\Bbb Z[\sqrt{-5}]$?

Published on 13 Apr 2026 - 9:59

102

Views

Quotient rings as complements of ideals

Published on 18 Apr 2026 - 10:19

77

Views

High-degree pieces of graded ideal with coprime generators

Published on 10 May 2026 - 8:14

203

Views

Does $\mathbb Z/{2}\times\mathbb Z/{2}$ have no maximal and prime ideal?

Published on 17 Apr 2026 - 14:29

223

Views

on the a.c.c. on radical ideals and the finite generation of radical ideals property of commutative rings with unity

Published on 13 Apr 2026 - 21:11

640

Views

characterizing commutative rings, with nilpotent nilradical , satisfying a.c.c. on radical ideals

Published on 29 Apr 2026 - 12:48

325

Views

Grobner basis of an ideal $I$

Published on 29 Apr 2026 - 12:52

55

Views

Finding an ideal given the variety

Published on 10 Apr 2026 - 4:38

99

Views

Is this ideal radical?

Published on 06 May 2026 - 13:47

298

Views

Monomial ideal; Dickson's lemma

Published on 03 May 2026 - 23:55

94

Views

Sum of polynomial ideals + intersection with vector spaces

Published on 13 Apr 2026 - 21:18

368

Views

Is this true? An element which is not contained in a maximal ideal.

Published on 29 Apr 2026 - 12:48

291

Views

Nil ideal of the ring of integers modulo $n$

Published on 16 Apr 2026 - 9:37

51

Views

Subset of a k- ideal is k-ideal

Published on 13 Apr 2026 - 22:06

List Question

Show that the ideal $(XY+XZ+YZ,XYZ) = (X,Y)(Y,Z)(X,Z)$ and the irreducibility of the vanishing sets of the factors.

Computing the norms of a non-principal ideal in $\Bbb Z[\sqrt{-5}]$?

Quotient rings as complements of ideals

High-degree pieces of graded ideal with coprime generators

Does $\mathbb Z/{2}\times\mathbb Z/{2}$ have no maximal and prime ideal?

on the a.c.c. on radical ideals and the finite generation of radical ideals property of commutative rings with unity

characterizing commutative rings, with nilpotent nilradical , satisfying a.c.c. on radical ideals

Grobner basis of an ideal $I$

Finding an ideal given the variety

Is this ideal radical?

Monomial ideal; Dickson's lemma

Sum of polynomial ideals + intersection with vector spaces

Is this true? An element which is not contained in a maximal ideal.

Nil ideal of the ring of integers modulo $n$

Subset of a k- ideal is k-ideal

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