JOURNAL BROWSE
Search
Advanced SearchSearch Tips
EXTENDED SPECIAL SETS IN IMPLICATIVE SEMIGROUPS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
EXTENDED SPECIAL SETS IN IMPLICATIVE SEMIGROUPS
Bang, Keum-Seong; So, Keum-Sook;
  PDF(new window)
 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;
 Language
English
 Cited by
 References
1.
G. Birkhoff, Lattice Theory, Amer. Math. Soc. Coll. Publ. 25, Providence (1967)

2.
T. S. Blyth, Pseudo-residuals in semigroups, J. London Math. Soc. 40 (1965), 441-454 crossref(new window)

3.
M. W. Chan and K. P. Shum, Homomorphisms of implicative semigroups, Semigroup Forum 46 (1993), 7-15 crossref(new window)

4.
H. B. Curry, Foundations of Mathematical Logics, McGrow-Hill, New york, 1963

5.
Y. B. Jun, J. Meng and X. L. Xin, On ordered filters of implicative semigroup, Semigroup Forum 54 (1997), 75-82 crossref(new window)

6.
Y. B. Jun, A note on ordered filters of implicative semigroups, Bull. Korean Math. Soc. 34 (1997), no. 2, 185-191

7.
Y. B. Jun, Some results on ordered filters of implicative semigroup, Int. J. Math. & Math. Sci. 26 (2001), 731-735 crossref(new window)

8.
W. C. Nemitz, Implicative semilattices, Trans. Amer. Math. Soc. 117 (1965), 128-142 crossref(new window)