K. Venkateswarlu, Mekonnen Mamo Elema, Yibeltal Yitayew Tessema
{"title":"bh格的分解","authors":"K. Venkateswarlu, Mekonnen Mamo Elema, Yibeltal Yitayew Tessema","doi":"10.4314/sinet.v46i1.9","DOIUrl":null,"url":null,"abstract":" In this paper we study further properties of BH-lattices which is a subclass of BH-monoids. We furnish certain examples of BH- monoids which are not BH- lattice. We give a characterization of BH-lattices in terms of bounded BH-lattices and commutative l-groups. Also we prove that every BH-lattice is a direct product of Heyting algebra and commutative l-group under certain condition. Further we obtain the decomposition theorem in terms of Boolean algebra and a commutative l-group.","PeriodicalId":275075,"journal":{"name":"SINET: Ethiopian Journal of Science","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Decomposition of BH-Lattices\",\"authors\":\"K. Venkateswarlu, Mekonnen Mamo Elema, Yibeltal Yitayew Tessema\",\"doi\":\"10.4314/sinet.v46i1.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\" In this paper we study further properties of BH-lattices which is a subclass of BH-monoids. We furnish certain examples of BH- monoids which are not BH- lattice. We give a characterization of BH-lattices in terms of bounded BH-lattices and commutative l-groups. Also we prove that every BH-lattice is a direct product of Heyting algebra and commutative l-group under certain condition. Further we obtain the decomposition theorem in terms of Boolean algebra and a commutative l-group.\",\"PeriodicalId\":275075,\"journal\":{\"name\":\"SINET: Ethiopian Journal of Science\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SINET: Ethiopian Journal of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/sinet.v46i1.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SINET: Ethiopian Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/sinet.v46i1.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we study further properties of BH-lattices which is a subclass of BH-monoids. We furnish certain examples of BH- monoids which are not BH- lattice. We give a characterization of BH-lattices in terms of bounded BH-lattices and commutative l-groups. Also we prove that every BH-lattice is a direct product of Heyting algebra and commutative l-group under certain condition. Further we obtain the decomposition theorem in terms of Boolean algebra and a commutative l-group.
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