A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

let A=M2(Z) be the ring of 2×2 integral matrices the identity of A, IA

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @misty1212

  2. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    is the question asking for the identity matrix?

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    YES

  4. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    it is the usual one

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    HMM. |dw:1434206105315:dw|

  6. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[\begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array}\]

  7. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    yeah that one

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OK

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let G be a group and H1 , H2 normal subgroups of .one of these is a normal subgroup of G

  10. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    whew i thought it was going to be some hard ring question, not a nice easy one

  11. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    you lost me there, was it perhaps a copy and paste fail?

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1)H1 INTERCEPT H2 2)H1 UNION H2 3)H1-H2 4)AXB

  13. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    if \(A_1,H_2\) are normal in \(G\) then \(H_1\cap H_2\) is as well, it is a straightforward check

  14. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    depending of course on what your definition of a normal subgroup is there are a couple

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OK MA. HAVE SOME MORE...

  16. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    wait, you don't have to prove it, just pick one?

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If R and R'are rings, a mapping ϕ:R→R′ ring ho morphism if any of these happen ∀a,b,∈R

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ϕ(a+b)=ϕ(a)+ϕ(b) ϕ(a/b)=ϕ(a)−ϕ(b) ϕ(a.b)=ϕ(a)ϕ(b) A and C only

  19. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    wow an abstract algebra class with multiple guess questions? no proofs just pick?

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    IM VERY CONFUSE and the book i have does note contain all these.

  21. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    guess, i bet you get it on the first try or google ring homorphisms one hint, no one says division is even DEFINED in a ring

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes. i thought as much. it is multiplication and addition . right?

  23. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    or just read the top line here https://en.wikipedia.org/wiki/Ring_homomorphism

  24. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    yes A and C

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    An isomorphism of a ring is both an epimorphism and ________________ Monomorphism Endomorphism Automorphism homomorphism

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think it is homomorphism

  27. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    i am not sure what "homomorphism" of a ring means, a homo from on ring to another?

  28. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    isomorphism means a homomorphism that is both injective and surjective, or in this language "epi" and "mono"

  29. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    if it is a epimorphism, it is already a homomorphism, don't pick that one

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    waw. you are good

  31. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    ok actually i was not being precise epi is not exactly surjective and mono is not exactly injective, but you can think of them that way

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok. which means Monomorphism is the answer

  33. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    yes

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks... A endomorphism of a ring R is a _________ of R into itself

  35. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    iso

  36. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Monomorphism Endomorphism Automorphism homomorphism

  37. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does are the options

  38. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    scratch that. go with homo

  39. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  40. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    i gotta run, good luck

  41. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let R and S be rings and ϕ:R→S be an isomorphism, the ϕ is __________________

  42. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    monomorphism endomorphism Automorphism homomorphism

  43. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hello @ikram002p please help

  44. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it should be homomorphism its the condition of being isomorphic

  45. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why dont u start a new question so i would be able to help ?

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok. thanks

  47. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.