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Biideals in BCK/BCI-Bialgebras
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  • Journal title : Kyungpook mathematical journal
  • Volume 48, Issue 4,  2008, pp.577-584
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2008.48.4.577
 Title & Authors
Biideals in BCK/BCI-Bialgebras
Jun, Young-Bae;
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 Abstract
The biideal structure in BCK/BCI-bialgebras is discussed. Relationships between sub-bialgebras, biideals and IC-ideals (and/or CI-ideals) are considered. Conditions for a biideal to be a sub-bialgebra are provided, and conditions for a subset to be a biideal (resp. IC-ideal, CI-ideal) are given.
 Keywords
BCK/BCI-bialgebras;sub-bialgebras;biideals;IC-ideal;CIideal;
 Language
English
 Cited by
1.
Ideal theory in BCK/BCI-bialgebras,전영배;이경자;

Advanced Studies in Contemporary Mathematics, 2010. vol.20. 4, pp.2.1-2.8
 References
1.
K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japonica, 23(1)(1978), 1-26.

2.
Y. B. Jun, M. A. Ozturk and E. H. Roh, BCK/BCI-bialgebras, Sci. Math. Jpn., 64(3)(2006), 595-600, e2006, 903-908.

3.
J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul, 1994.

4.
W. B. Vasantha Kandasamy, Bialgebraic structures and Smarandache bialgebraic structures, American Research Press, 2003. (http://www.gallup.unm.edu/-smarandache/eBooks-otherformats.htm)