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《Fuzzy Systems and Mathematics》 2018-03
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Conditions for WBR_0-algebras to be Boolean Algebras

LING Xue-min;XU Luo-shan;YANG Ling-yun;Department of Common Education,Anhui Xinhua University;Department of Mathematics,Yangzhou University;Schoolof Mathematics and Statistics,Jiangsu Normal University;  
In WBR_0-algebras,we introduced the implication type condition(Imp)and dissoluble condition(Dis).It is proved that in WBR_0-algebras,the two conditions are equivalent.We also introduced the concept of(positive)implicative WBR_0-algebras.It is proved that implication type WBR_0-algebras are equivalent to(positive)implicative BR0-algebras.We also proved that implication type WBR_0-algebras are equivalent to Boolean algebras,obtaining four necessary and sufficient conditions for WBR_0-algebras to be Boolean algebras.
【Fund】: 国家自然科学基金资助项目(11671008;61300153);; 江苏省高校自然科学基金资助项目(15KJD110006);; 江苏高校品牌专业建设工程项目(PPZY2015B109;PPZY2015A013);; 安徽省质量工程一般项目(2017jyxm30)
【CateGory Index】: O141;O159
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