A Topological Approach to The Cancellation Problem for Affine Algebraic Variety over $\mathbb{C}$

Details A Topological Approach to The Cancellation Problem for Affine Algebraic Variety over $\mathbb{C}$ A Topological Approach to The Cancellation Problem for Affine Algebraic Variety over $\mathbb{C}$

2006-11-13

arxiv.org/abs/math/0611367v14

Mathematics

Commutative Algebra

6pages The manuscript is revised to be understandable

Scientific paper

The Cancellation Problem for Affine Spaces is settled affirmatively, that is,
it is proved that : Let $ k $ be an algebraically closed field of
characteristic zero and let $n, m \in \mathbb{N}$. If $R[Y_1,..., Y_m] \cong_k
k[X_1,..., X_{n+m}]$ as $k$-algebras, where $Y_1,..., Y_m, X_1,..., X_{n+m}$
are indeterminates, then $R \cong_k k[X_1,..., X_n]$.

Affiliated with

Also associated with

No associations

Rating

A Topological Approach to The Cancellation Problem for Affine Algebraic Variety over $\mathbb{C}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Topological Approach to The Cancellation Problem for Affine Algebraic Variety over $\mathbb{C}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Topological Approach to The Cancellation Problem for Affine Algebraic Variety over $\mathbb{C}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669435