Proceedings of 2009 International Workshop on Information Security and Application (IWISA 2009) Qingdao, China, November 2122, 2009 Editors: Feng Gao and Xijun Zhu AP Catalog Number: APPROCCS09CN004 ISBN: 9789525726060 Page(s): 357359 

TLsubalgebras and TLideals of BCKalgebras Shaoquan Sun and Fang He 
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Abstract 

In this paper, the concepts of TLsubalgebras, TLideals and TLimplicative ideals of BCKalgebra are introduced, A necessary and sufficient condition for a L subset of BCKalgebra to be a Lsubalgebra (ideal, implicative ideal) is stated, and images and inverseimages of TLsubalgebra under BCKalgebra homomorphism are studied. Also, several characterizations of TLideals (implicative ideals) are given. Where T is an arbitrary infinitely vdistributive tnorm on a given complete Brouwerian lattice L 

Index Terms 

BCKalgebra, TLsubalgebra, TLideal, TL implicative ideal 

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