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拟伪补MS-代数(英文) 被引量:5

Demi-pseudocomplemented MS-algebras
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摘要 一个拟伪补MS-代数是一个〈2,2,1,1,0,0〉类型的代数(L;∧,∨,°*,0,1),其中(L;∧,∨,°0,1)是MS-代数,(L;∧,∨,*,0,1)是拟伪补格且运算x■x°和x■x~*由恒等式x^(*°)=x^(°*)所连结.本文利用Priestley对偶理论,完整刻画了拟伪补MS-代数类中的所有次直不可约代数. Abstract: A demi-pseudocomplemented MS-algebra is an algebra (L; A, V,°,* ,0, 1) of type (2, 2, 1, 1, 0, 0/ where (L; A, V,°, 0, 1) is.an MS-algebra, (L; A, V, *, 0, 1) is a demi-p-lattice and the operations x→x° and x → x* are linked by the identity x*°= x°*. In this paper, we give a complete description of the subdirectly irreducible algebras via Priestely duality.
作者 方捷 杨婷
出处 《数学进展》 CSCD 北大核心 2013年第4期491-500,共10页 Advances in Mathematics(China)
关键词 MS-代数 拟伪补格 次直不可约 Priestley拓扑对偶 MS-algebra demi-pseudocomplemented lattice subdirectly irreducible Priest-ley duality
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参考文献8

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同被引文献27

  • 1赵萃魁,吴润衡.分配格上的素理想与同余关系[J].内蒙古大学学报(自然科学版),1989,20(1):26-29. 被引量:5
  • 2罗从文,郑延履.KERNEL IDEALS AND CONGRUENCES ON MS-ALGEBRAS[J].Acta Mathematica Scientia,2006,26(2):344-348. 被引量:2
  • 3罗从文,裴礼文.MS代数的极大同态像.数学物理学报,1998,18(4):429—432.
  • 4赵秀兰,方捷.平衡拟补Ockham代数的理想格[J].华南师范大学学报(自然科学版),2007,39(2):39-44. 被引量:11
  • 5Blyth T S,Varlet J C.On a common abstraction of de Morgan algebras and Stone algebras[J].Proc.Roy.Soc.Ed-inburgh,1983,94A:301~308.
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  • 9Fang J.Distributive lattices with unary operations[M].Beijing:Science Press,2011.
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