Let D be an integral domain and S be a multiplicative subset of
D. Then given a semistar operation ? on D, we introduced the S-˜?-Noetherian
domains, where ˜? is the stable semistar operation of finite type associated to
?. Among other things, we provide many different characterization for S-˜?-
Noetherian domains by focusing on primary decomposition, weak Bourbaki
associated primes and Zariski-Samuel associated primes of the S-saturation
of a given quasi-˜?-ideal I of D.
Semistar operation Noetherian domain S-Noetherian domain associated primes
Diğer ID | JA57DA63KC |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2015 |
Yayımlandığı Sayı | Yıl 2015 |