[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2010.32.3.515

THE ROLE OF T(X) IN THE IDEAL THEORY OF Q-ALGEBRAS

Ahn, Sun-Shin (Department of Mathematics Education Dongguk University)
Kang, Seung-Eel (Department of Mathematics Education Dongguk University)

Publication Information

Honam Mathematical Journal / v.32, no.3, 2010 , pp. 515-523 More about this Journal

Abstract

In this paper, we introduced a special set, called T-part, in a Q-algebra X. We also show that the T-part of X is a subalgebra of X. By using T-part, we provide an equivalent condition that every ideal is a T-ideal.

Keywords

atom; T-part; T-ideal; QS-algebra; Q-algebra;

Citations & Related Records

Reference

1	S. S. Ahn and H. S. Kim, On QS-algebras, J. Chungcheong Math. Soc., 12(1999), 33-41.
2	Q. P. Hu and X. Li, On BCH-algebras, Math. Seminar Notes, 11(1983), 313-320.
3	Q. P. Hu and X. Li, On proper BCH-algebras, Math. Japon., 30(1985), 659-661.
4	K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon., 23(1978), 1-26.
5	K. Iseki, On BCI-algebras, Mathe. Seminar Notes, 8(1980), 125-130.
6	Y. B. Jun, E. H. Roh and H. S. Kim, On BH-algebras, Sci. Mathematica , 1, (1998), 347-354.
7	J. Neggers, S. S. Ahn and H. S. Kim, On Q-algebras, Inter. J. Math. Math. Sci., 27(2001), 749-757. DOI ScienceOn
8	J. Neggers and H. S. Kim. On d-algebras. Math. Slovaca, 49 (1999), 19-26.