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ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS

Year 2013, Volume: 14 Issue: 14, 53 - 68, 01.12.2013

Parviz Sahandi Nematollah Shirmohammadi

https://izlik.org/JA74RX95EN

Abstract

Let D be an integral domain and let ? be a semistar operation on
D. In this paper, we define the class of ?-quasi-going-up domains, a notion
dual to the class of ?-going-down domains. It is shown that the class of ?-quasi-going-up
domains is a proper subclass of ?-going-down domains and that every
Prüfer-?-multiplication domain is a ?-quasi-going-up domain. Next, we prove
that the ?-Nagata ring Na(D, ?), is a quasi-going-up domain if and only if D is
a e?-quasi-going-up and a e?-quasi-Prüfer domain. Several new characterizations
are given for ?-going-down domains. We also define the universally ?-going-down
domains, and then, give new characterizations of Prüfer-?-multiplication
domains.

Keywords

Semistar operation integral domain B´ezout domain going-down domain going-up lying-over quasi-going-up quasi-going-up domain

Year 2013, Volume: 14 Issue: 14, 53 - 68, 01.12.2013

Parviz Sahandi Nematollah Shirmohammadi

https://izlik.org/JA74RX95EN

Abstract

There are 0 citations in total.

Details

Other ID JA44RD27KP
Authors

Parviz Sahandi This is me

Nematollah Shirmohammadi This is me

Publication Date December 1, 2013
IZ https://izlik.org/JA74RX95EN
Published in Issue Year 2013 Volume: 14 Issue: 14

Cite

APA Sahandi, P., & Shirmohammadi, N. (2013). ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS. International Electronic Journal of Algebra, 14(14), 53-68. https://izlik.org/JA74RX95EN
AMA 1.Sahandi P, Shirmohammadi N. ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS. IEJA. 2013;14(14):53-68. https://izlik.org/JA74RX95EN
Chicago Sahandi, Parviz, and Nematollah Shirmohammadi. 2013. “ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS”. International Electronic Journal of Algebra 14 (14): 53-68. https://izlik.org/JA74RX95EN.
EndNote Sahandi P, Shirmohammadi N (December 1, 2013) ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS. International Electronic Journal of Algebra 14 14 53–68.
IEEE [1]P. Sahandi and N. Shirmohammadi, “ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS”, IEJA, vol. 14, no. 14, pp. 53–68, Dec. 2013, [Online]. Available: https://izlik.org/JA74RX95EN
ISNAD Sahandi, Parviz - Shirmohammadi, Nematollah. “ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS”. International Electronic Journal of Algebra 14/14 (December 1, 2013): 53-68. https://izlik.org/JA74RX95EN.
JAMA 1.Sahandi P, Shirmohammadi N. ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS. IEJA. 2013;14:53–68.
MLA Sahandi, Parviz, and Nematollah Shirmohammadi. “ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS”. International Electronic Journal of Algebra, vol. 14, no. 14, Dec. 2013, pp. 53-68, https://izlik.org/JA74RX95EN.
Vancouver 1.Parviz Sahandi, Nematollah Shirmohammadi. ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS. IEJA [Internet]. 2013 Dec. 1;14(14):53-68. Available from: https://izlik.org/JA74RX95EN