{"title":"正正交的分解","authors":"P. Sundarayya, Ramesh Sirisetti, V. Sriramani","doi":"10.12816/0033739","DOIUrl":null,"url":null,"abstract":"In this paper B-elements and C-elements are defined in an ortholattice. We obtain an equivalent condition for an ortholattice to become a distributive lattice and hence Boolean algebra in terms of B-elements. Using B-elements two congruences are studied. Finally for each C-element, we obtain a decomposition for an ortholattice.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Decomposition of an Ortholattice\",\"authors\":\"P. Sundarayya, Ramesh Sirisetti, V. Sriramani\",\"doi\":\"10.12816/0033739\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper B-elements and C-elements are defined in an ortholattice. We obtain an equivalent condition for an ortholattice to become a distributive lattice and hence Boolean algebra in terms of B-elements. Using B-elements two congruences are studied. Finally for each C-element, we obtain a decomposition for an ortholattice.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0033739\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0033739","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper B-elements and C-elements are defined in an ortholattice. We obtain an equivalent condition for an ortholattice to become a distributive lattice and hence Boolean algebra in terms of B-elements. Using B-elements two congruences are studied. Finally for each C-element, we obtain a decomposition for an ortholattice.
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