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MS-代数的同余扩张性 被引量:2

THE CONGRUENCE EXTENSION PROPERTY OF MS ALGEBRAS
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摘要 刻划了MS-代数的素理想生成的同余关系,由此刻划证明了MS-代数具有同余扩张性. This paper characterizes the congruence induced by a prime ideal of an MS algebra,and from the characterization we show that the congruence extension property holds in MS algebras.
作者 罗从文
出处 《武汉大学学报(自然科学版)》 CSCD 1998年第3期282-284,共3页 Journal of Wuhan University(Natural Science Edition)
基金 湖北省教委基金
关键词 MS-代数 素理想 同余关系 MS algebra, congruence, prime ideal
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同被引文献7

  • 1Sankappanavar P. Principal congruences of pseudocomplemented De Morgan algebras. Zeritschr. f. math. Logik Grundlagen d. math. Bd., 1987, 33:3~11
  • 2Guzman F, Squier S. Subdirectly irreducible and free Kleene-Stone algebras. Algebra Universalis, 1994, 31:266~273
  • 3Epstein G, Mukaidono M. Some properties of Kleene-Stone algebras, Proceedings of the 17th international symposium on multiple-valued Logic, 1987, 5~7
  • 4Takagi N, Mukaidono M. Kleene-Stone logic functions, Proceedings of the 20th international symposium on multiple-valued Logic, 1990, 93~100
  • 5Takagi N, Mukaidono M. Fundamental properties of Kleene-Stone logic functions, Proccedings of the 21th international symposium on multiple-valued Logic, 1991, 63~70
  • 6Kondo M. Classification of weak de Morgan algebras. Notre Dame Journal of Formal Logic, 1995, 3(36):396~406
  • 7Cignoli R, Gallego M S D. Dualities for some de Morgan algebras with operators and Lukasiewicz algebras. J. Austral. Math. Soc. (Series), 1983, 34:377~393

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