ELEMENTARY TOPICS ON WEAK POLYGROUPS

Title & Authors
ELEMENTARY TOPICS ON WEAK POLYGROUPS
Davvaz, B.;

Abstract
In this paper, we further develop the weak polygroup theory, we define quotient weak polygroup and then the fundamental homomorphism theorem of group theory is derived in the context of weak polygroups. Also, we consider the fundamental relation $\small{\beta}$$\small{^{*}}$ defined on a weak polygroup and define a functor from the category of all weak polygroups into the category of all fundamental groups.s.
Keywords
weak polygroup;strong homomorphism;fundamental relation;fundamental group;
Language
English
Cited by
References
1.
J. Algebra, vol.89. pp.397-405

2.
Prolegomena of Hypergroup Theory,

3.
J. Korean Math. Soc., vol.36. 6, pp.1021-1031

4.
Proc. 28th Iranian Math. Conference University of Tabrize, pp.28-31

5.
Math. Balkanica (N.S.), vol.14. 1-2, pp.41-58

6.
$8^th$ Congress Math. Scandenaves, pp.45-49

7.
Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1990), pp.203-211

8.
J. Combin. Inf. System Sci., vol.20. pp.229-235

9.
Hyperstructures and their representations,