{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:01:58Z","timestamp":1746802918467,"version":"3.40.5"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2007,1,1]],"date-time":"2007-01-01T00:00:00Z","timestamp":1167609600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2007]]},"abstract":"<jats:p>We introduce the notion of fuzzy ideals in nearrings with respect to a<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"E2\"><mml:mi>t<\/mml:mi><\/mml:math>-norm<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"E3\"><mml:mi>T<\/mml:mi><\/mml:math>and investigate some of their properties. Using<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"E4\"><mml:mi>T<\/mml:mi><\/mml:math>-fuzzy ideals, characterizations of Artinian and Noetherian nearrings are established. Some properties of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"E5\"><mml:mi>T<\/mml:mi><\/mml:math>-fuzzy ideals of the quotient nearrings are also considered.<\/jats:p>","DOI":"10.1155\/2007\/73514","type":"journal-article","created":{"date-parts":[[2007,6,3]],"date-time":"2007-06-03T03:45:28Z","timestamp":1180842328000},"page":"1-14","source":"Crossref","is-referenced-by-count":4,"title":["On<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"E1\"><mml:mi>T<\/mml:mi><\/mml:math>-Fuzzy Ideals in Nearrings"],"prefix":"10.1155","volume":"2007","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"first-page":"x+469","year":"1992","series-title":"Oxford Science Publications","key":"1"},{"key":"2","series-title":"North-Holland Mathematics Studies","first-page":"xv+470","volume":"23","year":"1983"},{"issue":"3","key":"3","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","year":"1965","journal-title":"Information and Control"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(71)90199-5"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(87)90115-1"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(81)90164-5"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90325-X"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(90)90069-I"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.04.005"},{"issue":"1","key":"10","doi-asserted-by":"crossref","first-page":"313","DOI":"10.2140\/pjm.1960.10.313","volume":"10","year":"1960","journal-title":"Pacific Journal of Mathematics"},{"key":"11","first-page":"69","volume":"10","year":"1963","journal-title":"Publicationes Mathematicae Debrecen"},{"key":"12","series-title":"Trends in Logic\u2014Studia Logica Library","first-page":"xx+385","volume":"8","year":"2000"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(91)90039-S"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171296000452"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2007\/073514.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2007\/073514.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,17]],"date-time":"2017-06-17T14:16:19Z","timestamp":1497708979000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2007\/073514\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"references-count":14,"alternative-id":["073514","73514"],"URL":"https:\/\/doi.org\/10.1155\/2007\/73514","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2007]]}}}