ACCP rises to the polynomial ring if the ring has only finitely many associated primes
Frohn D (2004)
COMMUNICATIONS IN ALGEBRA 32(3): 1213-1218.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Einrichtung
Abstract / Bemerkung
We show for a commutative ring R with unity: If R satisfies the ascending chain condition on principal ideals (accp) and has only finitely many associated primes, then for any set of indeterminates X the polynomial ring R[X] also satisfies accp. Further we show that accp rises to the power series ring R[[X]] if R satisfies accp and the ascending chain condition on annihilators.
Stichworte
polynomial ring;
commutative ring;
ascending chain condition;
principal ideal
Erscheinungsjahr
2004
Zeitschriftentitel
COMMUNICATIONS IN ALGEBRA
Band
32
Ausgabe
3
Seite(n)
1213-1218
ISSN
0092-7872
eISSN
1532-4125
Page URI
https://pub.uni-bielefeld.de/record/1608390
Zitieren
Frohn D. ACCP rises to the polynomial ring if the ring has only finitely many associated primes. COMMUNICATIONS IN ALGEBRA. 2004;32(3):1213-1218.
Frohn, D. (2004). ACCP rises to the polynomial ring if the ring has only finitely many associated primes. COMMUNICATIONS IN ALGEBRA, 32(3), 1213-1218. https://doi.org/10.1081/AGB-120027975
Frohn, Daniel. 2004. “ACCP rises to the polynomial ring if the ring has only finitely many associated primes”. COMMUNICATIONS IN ALGEBRA 32 (3): 1213-1218.
Frohn, D. (2004). ACCP rises to the polynomial ring if the ring has only finitely many associated primes. COMMUNICATIONS IN ALGEBRA 32, 1213-1218.
Frohn, D., 2004. ACCP rises to the polynomial ring if the ring has only finitely many associated primes. COMMUNICATIONS IN ALGEBRA, 32(3), p 1213-1218.
D. Frohn, “ACCP rises to the polynomial ring if the ring has only finitely many associated primes”, COMMUNICATIONS IN ALGEBRA, vol. 32, 2004, pp. 1213-1218.
Frohn, D.: ACCP rises to the polynomial ring if the ring has only finitely many associated primes. COMMUNICATIONS IN ALGEBRA. 32, 1213-1218 (2004).
Frohn, Daniel. “ACCP rises to the polynomial ring if the ring has only finitely many associated primes”. COMMUNICATIONS IN ALGEBRA 32.3 (2004): 1213-1218.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar