On T-Fuzzy Ideals in Nearrings
We introduce the notion of fuzzy ideals in nearrings with respect to a t-norm T and investigate some of their properties. Using T-fuzzy ideals, characterizations of Artinian and Noetherian nearrings are established. Some properties of T-fuzzy ideals of the quotient nearrings are also considered.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/73514 |
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Article |
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doaj-6df0252386c84685b72dcd768151db6a2020-11-24T22:57:05ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/7351473514On T-Fuzzy Ideals in NearringsMuhammad Akram0Punjab University College of Information Technology, University of the Punjab, Old Campus, P.O. Box 54000, Lahore, PakistanWe introduce the notion of fuzzy ideals in nearrings with respect to a t-norm T and investigate some of their properties. Using T-fuzzy ideals, characterizations of Artinian and Noetherian nearrings are established. Some properties of T-fuzzy ideals of the quotient nearrings are also considered.http://dx.doi.org/10.1155/2007/73514 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Muhammad Akram |
| spellingShingle |
Muhammad Akram On T-Fuzzy Ideals in Nearrings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Muhammad Akram |
| author_sort |
Muhammad Akram |
| title |
On T-Fuzzy Ideals in Nearrings |
| title_short |
On T-Fuzzy Ideals in Nearrings |
| title_full |
On T-Fuzzy Ideals in Nearrings |
| title_fullStr |
On T-Fuzzy Ideals in Nearrings |
| title_full_unstemmed |
On T-Fuzzy Ideals in Nearrings |
| title_sort |
on t-fuzzy ideals in nearrings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2007-01-01 |
| description |
We introduce the notion of fuzzy ideals in nearrings with respect to a t-norm T and investigate some of their properties. Using T-fuzzy ideals, characterizations of Artinian and Noetherian nearrings are established. Some properties of T-fuzzy ideals of the quotient nearrings are also considered. |
| url |
http://dx.doi.org/10.1155/2007/73514 |
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AT muhammadakram ontfuzzyidealsinnearrings |
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