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seen Dec 4 '13 at 20:41

Just me!


Apr
19
comment Surjective homomorphism on Laurent polynomial ring, part II
Hi, could you give a look at my other question in link. Thanks,
Apr
19
asked homomorphism of Laurent polynomial ring
Jan
22
comment PBW Theorem applied to graded Lie algebras
@user8268 The gradation is in $\mathbb Z_+^n$, then something more is necessary. There is no meaning for $b_1<\cdots< b_m$ in this case. Do you know where there exists a proof in the case of $\mathbb Z_+$-gradation? I think that it is possible to extend it... Otherwise, you could write one here to help!
Jan
22
comment PBW Theorem applied to graded Lie algebras
@user8268: I think that he wants a decomposition of each piece in terms of tensor products of symmetric powers of ${\frak a}[r_i]$ for suitable choice of $a[r_i]$. I don't know how to do either.
Jan
5
awarded  Promoter
Jan
1
asked Integral forms of loop algebras.
Dec
25
accepted Sum involving units of a ring.
Dec
24
accepted Parabolic subalgebra
Dec
16
accepted Surjective homomorphism on Laurent polynomial ring, part II
Dec
16
comment Surjective homomorphism in Laurent polynomial ring.
Thank you for helping me to do in the better way! I was not realizing the importance of this hypothesis which was inserted in the new question link. It was very helpful to understand what happens if I take out this hypothesis on my original problem. See the other question if you can!
Dec
16
asked Surjective homomorphism on Laurent polynomial ring, part II
Dec
16
awarded  Cleanup
Dec
16
accepted Surjective homomorphism in Laurent polynomial ring.
Dec
16
revised Surjective homomorphism in Laurent polynomial ring.
rolled back to a previous revision
Dec
16
revised Surjective homomorphism in Laurent polynomial ring.
deleted 177 characters in body
Dec
16
revised Surjective homomorphism in Laurent polynomial ring.
the general answer and a complementary question
Dec
16
comment Surjective homomorphism in Laurent polynomial ring.
Good point! You gave me the full answer of a part of my problem. Actually, the problem which I am working has a stronger hypothesis that $a_i^k \ne a_j^k$ for $i\ne j$ and $k=1,2,3$. So, the counterexample that you gave is of the form $(t-1)(t+1)$ and therefore it is not satisfying my original hypothesis. I am very greatful about your answer and I am editing the original question with this variation.
Dec
15
comment Surjective homomorphism in Laurent polynomial ring.
@jspecter: You are right!
Dec
15
comment Surjective homomorphism in Laurent polynomial ring.
@Bill: I just put $a_i\ne 0$, that is a different question. Sorry about my failure!
Dec
15
revised Surjective homomorphism in Laurent polynomial ring.
added 15 characters in body