tensor product twister
If A and B are algebras (over an algebraically closed field F) with no
nilpotent elements, can we say that A*B (tensor product) has no
nilpotent elements? I thought that should be easy, but can not say that
since linear combination of tensors can still be nilpotent. Is there a
theorem that rules that out?
.
Relevant Pages
- Re: tensor product twister
... nilpotent elements, can we say that A*B has no ... and m2 are maximal ideals in A and B, ... that if K and L are field extensions of F the tensor product K*L (over ...
(sci.math) - Re: tensor product twister
... nilpotent elements, can we say that A*B has no ... and m2 are maximal ideals in A and B, ... that if K and L are field extensions of F the tensor product K*L (over ...
(sci.math) - Re: tensor product twister
... nilpotent elements, can we say that A*B has no ... and m2 are maximal ideals in A and B, ... that if K and L are field extensions of F the tensor product K*L (over ... Let m1 the inverse image of the natural ring homomorphism (of finitely ...
(sci.math) - Re: tensor product twister
... nilpotent elements, can we say that A*B has no ... and m2 are maximal ideals in A and B, ... This is some version of the Hilbert Nullstellensatz, ... that if K and L are field extensions of F the tensor product K*L (over ...
(sci.math) - hilberts nullstellensatz and tensor products of algebras
... nilpotent elements, can we say that A*B (tensor product) has no ... and m2 are maximal ideals in A and B, ... This is some version of the Hilbert Nullstellensatz, ...
(sci.math) |
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