Open AccessOn the characteristic of homomorphisms on cyclically ordered groups
Author(s) -
Sumanang Muhtar Gozali,
Rizky Rosjanuardi,
Isnie Yusnitha
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1940/1/012010
Subject(s) - homomorphism , group (periodic table) , algebra homomorphism , mathematics , combinatorics , crystallography , physics , chemistry , quantum mechanics
For cyclically ordered groups G, G’, the mapping f: G → G’ is called a homomorphism, if f is a homomorphism with respect to the group operation, and whenever x,y,z in G such that [x,y,z], and f(x), f(y), f(z), are distinct, then [f(x), f(y), f(z)]. In this paper, it will be given some conditions related to group homomorphisms.