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Proceedings of 2009 International Workshop on Information Security and Application (IWISA 2009)

Qingdao, China, November 21-22, 2009

Editors: Feng Gao and Xijun Zhu

AP Catalog Number: AP-PROC-CS-09CN004

ISBN: 978-952-5726-06-0

Page(s): 357-359

TL-subalgebras and TL-ideals of BCK-algebras

Shaoquan Sun and Fang He

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In this paper, the concepts of TL-subalgebras, TL-ideals and TL-implicative ideals of BCK-algebra are introduced, A necessary and sufficient condition for a L- subset of BCK-algebra to be a L-subalgebra (ideal, implicative ideal) is stated, and images and inverse-images of TL-subalgebra under BCK-algebra homomorphism are studied. Also, several characterizations of TL-ideals (implicative ideals) are given. Where T is an arbitrary infinitely v-distributive t-norm on a given complete Brouwerian lattice L

Index Terms

BCK-algebra, TL-subalgebra, TL-ideal, TL- implicative ideal

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