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  • International Electronic Journal of Algebra
  • Volume:18 Issue:18
  • ON S-SEMISTAR-NOETHERIAN DOMAINS

ON S-SEMISTAR-NOETHERIAN DOMAINS

Authors : Afsaneh Esmaeelnezhad, Parviz Sahandi
Pages : 57-71
Doi:10.24330/ieja.266204
View : 18 | Download : 8
Publication Date : 2015-12-01
Article Type : Research Paper
Abstract :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.
Keywords : Semistar operation, Noetherian domain, S Noetherian domain, associated primes

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