Recent questions in Abstract algebra

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immarehealopbsc 2023-03-28

How to find out the mirror image of a point?

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hEorpaigh3tR 2022-11-24

Generators of a free group

If G is a free group generated by n elements, is it possible to find an isomorphism of G with a free group generated by n-1 (or any fewer number) of elements?

If G is a free group generated by n elements, is it possible to find an isomorphism of G with a free group generated by n-1 (or any fewer number) of elements?

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Topniveauh2 2022-09-25

Convert 10 meters to feet. Round your answer to the nearest tenth

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Aubrey Augastine2022-08-26

6. Reduce the following matrix to reduced row echelon form:

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Mart Hoert2022-08-04

Let v be a vector over a field F with zero vector 0 and let s,T be a substance of V .then which of the following statements are false

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anon anon2022-06-13

Describe Aut(Zp), the automorphism group of the cyclic group Zp where p is prime. In particular find the order of this group. (Hint: A generator must map to another generator)

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Let a and b belong to a ring R and let m be an integer. Prove that m(ab) = (ma)b = a(mb)

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Rohan Singh Rawat2022-05-19

prove that the union of two subgroups is a subgroup iff one is contained in the other.

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Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.

−8,-3, 2, 7, ...

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If R is a commutative ring with unity 1 the R[x] is also a commutative ring with unity 1

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Benjamin Hampton 2022-05-02

$\frac{{\mathbb{F}}_{2}[X,Y]}{({Y}^{2}+Y+1,{X}^{2}+X+Y)}$ and $\frac{{\displaystyle \left({\mathbb{F}}_{2}\right[Y]}}{{\displaystyle ({Y}^{2}+Y+1)}}\frac{{\displaystyle \left)\right[X]}}{{\displaystyle ({X}^{2}+X+\overline{Y})}}$ are isomorphic

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