Chain of prime ideals in formal power series rings

Autor:	Yves Lequain, Ada Maria de Souza Doering
Rok vydání:	1983
Předmět:	Discrete mathematics Associated prime Applied Mathematics General Mathematics Prime ideal Semiprime ring Ascending chain condition on principal ideals Maximal ideal Prime element Prime power Prime (order theory) Mathematics
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:	https://explore.openaire.eu/search/publication?articleId=doi_________::56ad9a917e27ea480fb92b13cd880bdb https://doi.org/10.1090/s0002-9939-1983-0702281-3 Zobrazit plný text záznamu