subject
Physics, 09.11.2019 04:31 sirdre1982

Prove that if r is a commutative ring and n = (a) is a finitely generated ideal, where a = \{a_1,\ldots, a_n\} and each a_n is nilpotent, then n is a nilpotent ideal. deduce that if the nilradical \mathfrak{n}(r) of r is finitely generated then it is a nilpotent ideal

ansver
Answers: 2

Other questions on the subject: Physics

image
Physics, 22.06.2019 01:30, hardwick744
The speed of light in a material is 0.50 c. what is the critical angle of a light ray at the interface between the material and a vacuum?
Answers: 1
image
Physics, 22.06.2019 10:30, SauceyNaee
Aparticle moves in the xy plane with constant acceleration. at time zero, the particle is at x = 6 m, y = 8.5 m, and has velocity ~vo = (9 m/s) ˆı + (−2.5 m/s) ˆ . the acceleration is given by ~a = (4.5 m/s 2 ) ˆı + (3 m/s 2 ) ˆ . what is the x component of velocity after 3.5 s? answer in units of m/s.
Answers: 1
image
Physics, 22.06.2019 15:10, Bgreene2377
Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k
Answers: 1
image
Physics, 23.06.2019 08:10, tylercapozzoli
What 2 properties are used to classify radiation
Answers: 3
You know the right answer?
Prove that if r is a commutative ring and n = (a) is a finitely generated ideal, where a = \{a_1,\ld...

Questions in other subjects:

Konu
Mathematics, 27.07.2021 19:40
Konu
Mathematics, 27.07.2021 19:40