This article relies largely or entirely on a
single source. (May 2024) |
In commutative algebra, a field of mathematics, the monomial conjecture of Melvin Hochster says the following: [1]
Let A be a Noetherian local ring of Krull dimension d and let x1, ..., xd be a system of parameters for A (so that A/(x1, ..., xd) is an Artinian ring). Then for all positive integers t, we have
The statement can relatively easily be shown in characteristic zero.
This article relies largely or entirely on a
single source. (May 2024) |
In commutative algebra, a field of mathematics, the monomial conjecture of Melvin Hochster says the following: [1]
Let A be a Noetherian local ring of Krull dimension d and let x1, ..., xd be a system of parameters for A (so that A/(x1, ..., xd) is an Artinian ring). Then for all positive integers t, we have
The statement can relatively easily be shown in characteristic zero.