{"title":"交换半环中2吸收理想的一些结果","authors":"Pratibha Kumar, M. K. Dubey, Poonam Sarohe","doi":"10.7862/RF.2015.7","DOIUrl":null,"url":null,"abstract":"In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero iden- tity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these con- cepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Some results on 2-absorbing ideals in commutative semirings\",\"authors\":\"Pratibha Kumar, M. K. Dubey, Poonam Sarohe\",\"doi\":\"10.7862/RF.2015.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero iden- tity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these con- cepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.\",\"PeriodicalId\":345762,\"journal\":{\"name\":\"Journal of Mathematics and Applications\",\"volume\":\"65 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7862/RF.2015.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2015.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some results on 2-absorbing ideals in commutative semirings
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero iden- tity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these con- cepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.