Year 2019, Volume 4, Issue 1, Pages 19 - 25 2019-04-15

On Weakly Prime Fuzzy Ideals of Commutative Rings

Deniz Sönmez [1] , Gürsel Yeşilot [2]

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In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal. Let R be a commutative ring with non-zero identity. A nonconstant fuzzy ideal µ of R is called weakly prime fuzzy ideal if 0_t != x_r y_s ∈ µ implies x_r ∈ µ or y_s ∈ µ for all t ∈ (0, µ(0)]. We investigate some properties of this notion. Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.
weakly prime fuzzy ideals, prime fuzzy ideals
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Primary Language en
Subjects Mathematics
Journal Section Research Article
Authors

Author: Deniz Sönmez (Primary Author)
Institution: Yildiz Technical University
Country: Turkey


Author: Gürsel Yeşilot
Institution: Yildiz Technical University
Country: Turkey


Dates

Publication Date: April 15, 2019

Bibtex @research article { jetas404279, journal = {Journal of Engineering Technology and Applied Sciences}, issn = {}, eissn = {2548-0391}, address = {Muhammet KURULAY}, year = {2019}, volume = {4}, pages = {19 - 25}, doi = {10.30931/jetas.404279}, title = {On Weakly Prime Fuzzy Ideals of Commutative Rings}, key = {cite}, author = {Sönmez, Deniz and Yeşilot, Gürsel} }
APA Sönmez, D , Yeşilot, G . (2019). On Weakly Prime Fuzzy Ideals of Commutative Rings. Journal of Engineering Technology and Applied Sciences, 4 (1), 19-25. DOI: 10.30931/jetas.404279
MLA Sönmez, D , Yeşilot, G . "On Weakly Prime Fuzzy Ideals of Commutative Rings". Journal of Engineering Technology and Applied Sciences 4 (2019): 19-25 <http://dergipark.org.tr/jetas/issue/44868/404279>
Chicago Sönmez, D , Yeşilot, G . "On Weakly Prime Fuzzy Ideals of Commutative Rings". Journal of Engineering Technology and Applied Sciences 4 (2019): 19-25
RIS TY - JOUR T1 - On Weakly Prime Fuzzy Ideals of Commutative Rings AU - Deniz Sönmez , Gürsel Yeşilot Y1 - 2019 PY - 2019 N1 - doi: 10.30931/jetas.404279 DO - 10.30931/jetas.404279 T2 - Journal of Engineering Technology and Applied Sciences JF - Journal JO - JOR SP - 19 EP - 25 VL - 4 IS - 1 SN - -2548-0391 M3 - doi: 10.30931/jetas.404279 UR - https://doi.org/10.30931/jetas.404279 Y2 - 2019 ER -
EndNote %0 Journal of Engineering Technology and Applied Sciences On Weakly Prime Fuzzy Ideals of Commutative Rings %A Deniz Sönmez , Gürsel Yeşilot %T On Weakly Prime Fuzzy Ideals of Commutative Rings %D 2019 %J Journal of Engineering Technology and Applied Sciences %P -2548-0391 %V 4 %N 1 %R doi: 10.30931/jetas.404279 %U 10.30931/jetas.404279
ISNAD Sönmez, Deniz , Yeşilot, Gürsel . "On Weakly Prime Fuzzy Ideals of Commutative Rings". Journal of Engineering Technology and Applied Sciences 4 / 1 (April 2019): 19-25. https://doi.org/10.30931/jetas.404279
AMA Sönmez D , Yeşilot G . On Weakly Prime Fuzzy Ideals of Commutative Rings. jetas. 2019; 4(1): 19-25.
Vancouver Sönmez D , Yeşilot G . On Weakly Prime Fuzzy Ideals of Commutative Rings. Journal of Engineering Technology and Applied Sciences. 2019; 4(1): 25-19.