TY - JOUR
AU - Amulya Sharma,
PY - 2020/03/15
Y2 - 2024/11/14
TI - Introduction to Abelian Spaces: A Connection with Topology
JF - International Journal of Mathematics And its Applications
JA - Int. J. Math. And Appl.
VL - 8
IS - 1
SE - Research Article
DO -
UR - http://ijmaa.in/index.php/ijmaa/article/view/183
SP - 123-125
AB - <p>An abelian group is an algebraic property of an algebraic structure, but it can also be considered as a metric space. This paper establishes a new concept ``Abelian Space'', a space containing a set and an operator which is not only an abelian group, but can also be viewed as a metric space. In this paper, with reference to the symmetric difference operator between two sets, it is proved that an abelian group can also be considered as an abelian ``metric'' space.</p>
ER -