De Morgan代数的次直积构造

De Morgan代数的次直积构造 THE SUBDIRECT PRODUCT STRUCTURE OF DE MORGAN ALGEBRA 徐奖新 Xu Jiangxin 1 first-author 罗从文 Luo Congwen 1 马学文 Ma Xuewen 1 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 首先讨论了ＤｅＭｏｒｇａｎ代数的同余关系特性，在此基础上得到了ＤｅＭｏｒｇａｎ代数的次直积表示定理，然后着重就有限情况研究了ＤｅＭｏｒｇｎａ代数Ｌ和与之相联系的ＤｅＭｏｒｇａｎ代数Ｌ之间的关系 This paper studies the properies of De Morgan algebra′s Congruence. The properies are then applied to give a new proof of Kalman′s characterization of subdirectly irreducibles in this variety and thus to obtain the representation theorem for De Morgan algebras first proved by kalman. Finally the relation between De Morgan algebra L and related De Morgan algebra are discussed. DeMorgan代数 同余关系 次直不可约 De Morgan algebra congruence subdirectly irreducible O153.1 1997-01-01 2021-04-01 1