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# Forum: Linear and Abstract Algebra

Linear Systems of Equations, Eigenvalues and Eigenvectors, Vector Spaces, Groups, Rings, Fields

2. ### Linear Algebra Proofs and Problems

• Replies: 1
• Views: 11,439
March 8th, 2012, 20:05

2. ### Polynomial Rings - Gauss's Lemma

• Replies: 4
• Views: 1,012
April 15th, 2013, 15:02
3. ### Matrix groups and conjugate

• Replies: 1
• Views: 824
April 15th, 2013, 13:33
4. ### Vector / mechanics problem

• Replies: 1
• Views: 715
April 14th, 2013, 19:32
5. ### Show a subspace is closed

• Replies: 7
• Views: 913
April 13th, 2013, 16:49
6. ### Proving that a ring is non a PID

• Replies: 3
• Views: 1,150
April 12th, 2013, 09:10
7. ### Help Proving Isomorphism of a group

• Replies: 6
• Views: 898
April 11th, 2013, 10:40
8. ### Rings of Fractions and Fields of Fractions

• Replies: 1
• Views: 1,392
April 11th, 2013, 07:12
9. ### Prove a ring: showing an element has an additive inverse

• Replies: 5
• Views: 2,381
April 9th, 2013, 02:18
10. ### Proving statements regarding invertible matrices

• Replies: 6
• Views: 1,264
April 8th, 2013, 23:28
11. ### What is the problem in this Proof

• Replies: 3
• Views: 674
April 8th, 2013, 02:19
12. ### Ideals of Polynomial Rings

• Replies: 2
• Views: 705
April 6th, 2013, 19:31
13. ### Greatest common divisor of two polynomials

• Replies: 2
• Views: 1,294
April 6th, 2013, 04:16
14. ### Polynomial Rings - Z[x]/(x^2) and Z[x^2 + 1>

• Replies: 11
• Views: 1,819
April 6th, 2013, 02:16
15. ### Finite abelian group textbook help

• Replies: 1
• Views: 701
April 5th, 2013, 07:30
16. ### Closure of a Subgroup of GL(2,C)

• Replies: 5
• Views: 1,575
April 4th, 2013, 13:56
17. ### Polynomial Rings over Fields

• Replies: 1
• Views: 714
March 31st, 2013, 01:29
18. ### Integral Domains and Principal Ideal Domains (PIDs)

• Replies: 4
• Views: 2,183
March 25th, 2013, 03:32
19. ### Volume of linear transformation of Jordan domain

• Replies: 0
• Views: 839
March 23rd, 2013, 21:30
20. ### How to find the intersection between a polytope and a hyperplane

• Replies: 0
• Views: 973
March 21st, 2013, 07:30
21. ### Integral closure in finite extension fields

• Replies: 1
• Views: 797
March 20th, 2013, 14:57
22. ### Proofs about invertible linear functions

• Replies: 8
• Views: 1,150
March 17th, 2013, 05:54
23. ### Principal Ideals - Need for a ring with identity or a unity

• Replies: 14
• Views: 1,825
March 16th, 2013, 17:55
24. ### Principal ideal in a ring without identity

• Replies: 6
• Views: 1,946
March 15th, 2013, 22:18
25. ### The Nature of Principal Ideals

• Replies: 2
• Views: 835
March 15th, 2013, 21:14
26. ### Determinant

• Replies: 9
• Views: 1,052
March 15th, 2013, 15:53
27. ### Comaximal Ideals in a Principal Ideal Domain

• Replies: 3
• Views: 1,395
March 14th, 2013, 19:47
28. ### Prime elements in integral domains

• Replies: 1
• Views: 628
March 14th, 2013, 18:00
29. ### gcd of polynomials is 1. There is an nxn matrix with determinant...

• Replies: 5
• Views: 1,153
March 11th, 2013, 08:27
30. ### Inner product proof

• Replies: 1
• Views: 516
March 10th, 2013, 13:37
31. ### Inner product space

• Replies: 5
• Views: 621
March 10th, 2013, 12:24

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