{"title":"若干格中可删元素和可约数的刻画","authors":"M. Agalave, R. Shewale, V. Kharat","doi":"10.47164/IJNGC.V12I2.772","DOIUrl":null,"url":null,"abstract":"In this paper, we have obtained some characterizations of deletable elements and studied reducibility in chains, graded, complete, planar, algebraic, relatively atomic and locally modular lattices. \n \nThe notion of reducibility number introduced by Kharat et al. is also studied in these classes of lattices.","PeriodicalId":351421,"journal":{"name":"Int. J. Next Gener. Comput.","volume":"140 7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Characterizations of deletable elements and reducibility numbers in Some Classes of lattices\",\"authors\":\"M. Agalave, R. Shewale, V. Kharat\",\"doi\":\"10.47164/IJNGC.V12I2.772\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we have obtained some characterizations of deletable elements and studied reducibility in chains, graded, complete, planar, algebraic, relatively atomic and locally modular lattices. \\n \\nThe notion of reducibility number introduced by Kharat et al. is also studied in these classes of lattices.\",\"PeriodicalId\":351421,\"journal\":{\"name\":\"Int. J. Next Gener. Comput.\",\"volume\":\"140 7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-04-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Next Gener. Comput.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47164/IJNGC.V12I2.772\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Next Gener. Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47164/IJNGC.V12I2.772","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Characterizations of deletable elements and reducibility numbers in Some Classes of lattices
In this paper, we have obtained some characterizations of deletable elements and studied reducibility in chains, graded, complete, planar, algebraic, relatively atomic and locally modular lattices.
The notion of reducibility number introduced by Kharat et al. is also studied in these classes of lattices.