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ON S-SEMISTAR-NOETHERIAN DOMAINS

Year 2015, Volume: 18 Issue: 18, 57 - 71, 01.12.2015

Afsaneh Esmaeelnezhad Parviz Sahandi

https://doi.org/10.24330/ieja.266204

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

Year 2015, Volume: 18 Issue: 18, 57 - 71, 01.12.2015

Afsaneh Esmaeelnezhad Parviz Sahandi

https://doi.org/10.24330/ieja.266204

Abstract

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Details

Other ID JA57DA63KC
Journal Section Articles
Authors

Afsaneh Esmaeelnezhad This is me

Parviz Sahandi This is me

Publication Date December 1, 2015
Published in Issue Year 2015 Volume: 18 Issue: 18

Cite

APA Esmaeelnezhad, A., & Sahandi, P. (2015). ON S-SEMISTAR-NOETHERIAN DOMAINS. International Electronic Journal of Algebra, 18(18), 57-71. https://doi.org/10.24330/ieja.266204
AMA Esmaeelnezhad A, Sahandi P. ON S-SEMISTAR-NOETHERIAN DOMAINS. IEJA. December 2015;18(18):57-71. doi:10.24330/ieja.266204
Chicago Esmaeelnezhad, Afsaneh, and Parviz Sahandi. “ON S-SEMISTAR-NOETHERIAN DOMAINS”. International Electronic Journal of Algebra 18, no. 18 (December 2015): 57-71. https://doi.org/10.24330/ieja.266204.
EndNote Esmaeelnezhad A, Sahandi P (December 1, 2015) ON S-SEMISTAR-NOETHERIAN DOMAINS. International Electronic Journal of Algebra 18 18 57–71.
IEEE A. Esmaeelnezhad and P. Sahandi, “ON S-SEMISTAR-NOETHERIAN DOMAINS”, IEJA, vol. 18, no. 18, pp. 57–71, 2015, doi: 10.24330/ieja.266204.
ISNAD Esmaeelnezhad, Afsaneh - Sahandi, Parviz. “ON S-SEMISTAR-NOETHERIAN DOMAINS”. International Electronic Journal of Algebra 18/18 (December 2015), 57-71. https://doi.org/10.24330/ieja.266204.
JAMA Esmaeelnezhad A, Sahandi P. ON S-SEMISTAR-NOETHERIAN DOMAINS. IEJA. 2015;18:57–71.
MLA Esmaeelnezhad, Afsaneh and Parviz Sahandi. “ON S-SEMISTAR-NOETHERIAN DOMAINS”. International Electronic Journal of Algebra, vol. 18, no. 18, 2015, pp. 57-71, doi:10.24330/ieja.266204.
Vancouver Esmaeelnezhad A, Sahandi P. ON S-SEMISTAR-NOETHERIAN DOMAINS. IEJA. 2015;18(18):57-71.