tensor algebra मीनिंग इन हिंदी

उदाहरण वाक्य

1. This universal property follows from the tensor algebra as a natural transformation.
2. This distinction is developed in greater detail in the article on tensor algebras.
3. Additional discussion of this point can be found in the tensor algebra article.
4. Here juxtaposition is symmetric respectively antisymmetric multiplication in the symmetric and antisymmetric tensor algebra.
5. The universal property can thus be seen as being inherited from the tensor algebra.
6. Thus, these two are consistency conditions for the Lie bracket on the tensor algebra.
7. The construction proceeds by first building the tensor algebra of the underlying vector space of the Lie algebra.
8. The monomials of these generators then generate the tensor algebra, on which the quotienting may be performed.
9. The result of the lifting is that the tensor algebra of a Lie algebra is a Poisson algebra.
10. The construction generalizes in straightforward manner to the tensor algebra of any " commutative " ring.