[KSCI] Korea Science Citation Index Service

Bang, Keum-Seong (Department of Mathematics The Catholic University of Korea)
So, Keum-Sook (Department of Mathematics Hallym University)

Publication Information

Abstract

In this paper, we introduce more extended special sets in implicative semigroups, and obtain some relations with ordered filters.

Keywords

implicative semigroup; commutative; self distributive; ordered section; ordered filter; special set;

Citations & Related Records

Times Cited By SCOPUS : 0

1	T. S. Blyth, Pseudo-residuals in semigroups, J. London Math. Soc. 40 (1965), 441-454 DOI
2	M. W. Chan and K. P. Shum, Homomorphisms of implicative semigroups, Semigroup Forum 46 (1993), 7-15 DOI
3	H. B. Curry, Foundations of Mathematical Logics, McGrow-Hill, New york, 1963
4	Y. B. Jun, J. Meng and X. L. Xin, On ordered filters of implicative semigroup, Semigroup Forum 54 (1997), 75-82 DOI
5	Y. B. Jun, A note on ordered filters of implicative semigroups, Bull. Korean Math. Soc. 34 (1997), no. 2, 185-191
6	G. Birkhoff, Lattice Theory, Amer. Math. Soc. Coll. Publ. 25, Providence (1967)
7	W. C. Nemitz, Implicative semilattices, Trans. Amer. Math. Soc. 117 (1965), 128-142 DOI ScienceOn
8	Y. B. Jun, Some results on ordered filters of implicative semigroup, Int. J. Math. & Math. Sci. 26 (2001), 731-735 DOI