Chain of prime ideals in formal power series rings
Autor: | Yves Lequain, Ada Maria de Souza Doering |
---|---|
Rok vydání: | 1983 |
Předmět: | |
Zdroj: | Proceedings of the American Mathematical Society. 88:591-594 |
ISSN: | 1088-6826 0002-9939 |
Popis: | Let R R be a Noetherian domain and P P a prime ideal of R R . Then R p [ [ X 1 , … , X n ] ] {R_p}[[{X_1}, \ldots ,{X_n}]] has a maximal chain of prime ideals of length r r if and only if R [ [ X 1 , … , X n ] ] ( P , X 1 , … , X n ) R{[[{X_1}, \ldots ,{X_n}]]_{(P,{X_1}, \ldots ,{X_n})}} does, if and only if R [ [ X 1 , … , X n ] ] ( P , X 1 , … , X n ) R{[[{X_1}, \ldots ,{X_n}]]_{(P,{X_1}, \ldots ,{X_n})}} does. |
Databáze: | OpenAIRE |
Externí odkaz: |