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An Extended Ockham Algebra with Endomorphism Kernel Property 被引量:2

An Extended Ockham Algebra with Endomorphism Kernel Property
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摘要 An algebraic structure A is said to have the endomorphism kernel property if every congruence on A, other than the universal congruence, is the kernel of an endomorphism on A. In this paper, we consider the EKP (that is, endomorphism kernel property) for an extended Ockham algebra A. In particular, we describe the structure of the finite symmetric extended de Morgan algebras having EKP. An algebraic structure A is said to have the endomorphism kernel property if every congruence on A, other than the universal congruence, is the kernel of an endomorphism on A. In this paper, we consider the EKP (that is, endomorphism kernel property) for an extended Ockham algebra A. In particular, we describe the structure of the finite symmetric extended de Morgan algebras having EKP.
作者 Jie FANG
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第9期1611-1620,共10页 数学学报(英文版)
关键词 endomorphism kernel extended Ockham algebra symmetric extended de Morgan algebra endomorphism kernel, extended Ockham algebra, symmetric extended de Morgan algebra
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参考文献6

  • 1Blyth, T. S., Fang, J., Silva, H. J.: The endomorphism kernel property in finite distributive lattices and finite de Morgan algebras. Communications in Algebra, 32, 2225-2242 (2004)
  • 2Blyth, T. S., Fang, J.: Extended Ockham algebras. Communications in Algebra, 28, 1271-1284 (2000)
  • 3Blyth, T. S., Varlet, J. C.: Ockham Algebras, Oxford University Press, Oxford, 1994
  • 4Davey, B. A., Priestley, H. A.: Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990
  • 5Mckenzie, R. N., McNulty, G. F., Taylor, W. F.: Algebras, Lattices, Varieties, vol. I, Wadsworth & Brooks, Monterey, California, 1987
  • 6Urquhart, A.: Lattices with a dual homomorphic operation. Studia Logica, 38, 201-209 (1979)

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