Y. Sarala, Popuri Seetha Mani, K. Hila, Gokarakonda Jaya Lalitha
{"title":"三元半超群中的半拟对称超群","authors":"Y. Sarala, Popuri Seetha Mani, K. Hila, Gokarakonda Jaya Lalitha","doi":"10.52846/ami.v49i2.1573","DOIUrl":null,"url":null,"abstract":"The main objective of this study is to introduce a new class of hyperideals called pseudosymmetric and semipseudosymmetric hyperideals in ternary semihypergroups. We try to investigate the properties of these hyperideals by giving some suitable examples for the same. In particular we prove that every pseudosymmetric hyperideal of a ternary semihypergroups is a semipseudosymmetric hyperideal. We study the fundamental relations among these hyperideals and provide few results.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"42 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Semipseudosymmetric hyperideals in ternary semihypergroups\",\"authors\":\"Y. Sarala, Popuri Seetha Mani, K. Hila, Gokarakonda Jaya Lalitha\",\"doi\":\"10.52846/ami.v49i2.1573\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main objective of this study is to introduce a new class of hyperideals called pseudosymmetric and semipseudosymmetric hyperideals in ternary semihypergroups. We try to investigate the properties of these hyperideals by giving some suitable examples for the same. In particular we prove that every pseudosymmetric hyperideal of a ternary semihypergroups is a semipseudosymmetric hyperideal. We study the fundamental relations among these hyperideals and provide few results.\",\"PeriodicalId\":43654,\"journal\":{\"name\":\"Annals of the University of Craiova-Mathematics and Computer Science Series\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-12-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of the University of Craiova-Mathematics and Computer Science Series\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52846/ami.v49i2.1573\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of the University of Craiova-Mathematics and Computer Science Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52846/ami.v49i2.1573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Semipseudosymmetric hyperideals in ternary semihypergroups
The main objective of this study is to introduce a new class of hyperideals called pseudosymmetric and semipseudosymmetric hyperideals in ternary semihypergroups. We try to investigate the properties of these hyperideals by giving some suitable examples for the same. In particular we prove that every pseudosymmetric hyperideal of a ternary semihypergroups is a semipseudosymmetric hyperideal. We study the fundamental relations among these hyperideals and provide few results.