3 articles
Hilbert's basis theorem
Hilbert's basis theorem is a theorem of David Hilbert, proved in 1890, stating that if a ring R is Noetherian, then the polynomial ring R[x] is also Noetherian.
Polynomial ring
A polynomial ring, also called a polynomial algebra, is a ring whose elements are polynomials in one or more indeterminates, written R[x] over a base ring R.
Puiseux series
A Puiseux series is a power series in fractional powers of a variable that expresses the local behavior of algebraic functions; the method goes back to Newton.