THE SEMIGROUPS OF BINARY SYSTEMS AND SOME PERSPECTIVES

Title & Authors
THE SEMIGROUPS OF BINARY SYSTEMS AND SOME PERSPECTIVES
Kim, Hee-Sik; Neggers, Joseph;

Abstract
Given binary operations "*" and "$\small{\circ}$" on a set X, define a product binary operation "$\small{\Box}$" as follows: \$x{\Box}y\;:
Keywords
leftoid;semigroup;binary system;orientation (property);(travel, linear) groupoid;orbit;strong;d-algebra;separable;
Language
English
Cited by
1.
LOCALLY-ZERO GROUPOIDS AND THE CENTER OF BIN(X),;

대한수학회논문집, 2011. vol.26. 2, pp.163-168
1.
(n−1)-Step Derivations onn-Groupoids: The Casen=3, The Scientific World Journal, 2014, 2014, 1
2.
LOCALLY-ZERO GROUPOIDS AND THE CENTER OF BIN(X), Communications of the Korean Mathematical Society, 2011, 26, 2, 163
3.
The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups, Journal of Applied Mathematics, 2012, 2012, 1
4.
On Abelian and Related Fuzzy Subsets of Groupoids, The Scientific World Journal, 2013, 2013, 1
5.
Several types of groupoids induced by two-variable functions, SpringerPlus, 2016, 5, 1
6.
The Interaction between Fuzzy Subsets and Groupoids, The Scientific World Journal, 2014, 2014, 1
7.
TN-groupoids, Mathematica Slovaca, 2013, 63, 4
8.
Fuzzy rank functions in the set of all binary systems, SpringerPlus, 2016, 5, 1
9.
Hyperfuzzy subsets and subgroupoids, Journal of Intelligent & Fuzzy Systems, 2017, 33, 3, 1553
10.
Fuzzy Upper Bounds in Groupoids, The Scientific World Journal, 2014, 2014, 1
References
1.
R. L. O. Cignoli, I. M. L. D'ottaviano, and D. Mundici, Algebraic Ffoundations of Many-Valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000

2.
A. Dvurecenskij and S. Pulmannova, New Trends in Quantum Structures, Mathematics and its Applications, 516. Kluwer Academic Publishers, Dordrecht; Ister Science, Bratislava, 2000

3.
J. S. Han, H. S. Kim, and J. Neggers, Strong and ordinary d-algebras, J. Multi-Valued Logic and Soft Computing (to appear)

4.
Y. Huang, BCI-algebra, Science Press, Beijing, 2006

5.
J. Meng and Y. B. Jun, BCK-algebras, Kyung Moon Sa, Seoul, 1994

6.
L. Nebesky, An algebraic characterization of geodetic graphs, Czechoslovak Math. J. 48(123) (1998), no. 4, 701-710

7.
L. Nebesky, A tree as a finite nonempty set with a binary operation, Math. Bohem. 125 (2000), no. 4, 455-458

8.
L. Nebesky, Travel groupoids, Czechoslovak Math. J. 56(131) (2006), no. 2, 659-675.

9.
J. Neggers, A. Dvurecenskij, and H. S. Kim, On d-fuzzy functions in d-algebras, Found. Phys. 30 (2000), no. 10, 1807-1816

10.
J. Neggers, Y. B. Jun, and H. S. Kim, On d-ideals in d-algebras, Math. Slovaca 49 (1999), no. 3, 243-251

11.
J. Neggers and H. S. Kim, On d-algebras, Math. Slovaca 49 (1999), no. 1, 19-26