P- Fuzzy Ideals of Integral Domains
Author:
*Souriar Sebastian1 and George Mathew2
Affiliation:
1Department of Mathematics, St Albert's college Ernakulam, Kochi Kerala India
2Department of Mathematics, B.C.M. College Kottayam-Kerala India
Email:-souriarsebastian@gmail.com
Keyword:
Localization, Dedekind Domain, discrete valuation rings, fuzzy ideals, prime fuzzy ideals, - prime fuzzy ideals, -primary fuzzy ideals, radicals
Issue Date:
April 2013
Abstract:
We introduce P- fuzzy ideals where P is a prime ideal of a commutative ring. We also investigate the properties of such ideals at the context when R is a Dedekind Domain and when R is a principal ideal domain. We prove that P- fuzzy ideals and -Primary ideals, which are generally different, are equivalent in a Dedekind domain.
Pages:
125-134
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
PDF:
DOI:
jusps-A
Share This:
Copy the following to cite this article:
*Souriar Sebastian1 and George Mathew2 , "P- Fuzzy Ideals of Integral Domains ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 125-134, 2016Copy the following to cite this URL:
*Souriar Sebastian1 and George Mathew2 , "P- Fuzzy Ideals of Integral Domains ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 125-134, 2016Available from: https://www.ultrascientist.org/paper/689/
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
