• Amthul Muqheet
• Dr B.R.Srinivasa

The classical definition of group and its action is applicable to structures which are either Groups or Rings or Vector spaces etc. It finds its natural application in Physics, Chemistry (specially in Dynamics). Application of the above concept to other areas like Economics, Finance and in general to the areas which do not have the classical mathematic structures, needs extension of the classical definitions to general sets. In this paper we first recall the classical definition of group action which later is extended to sets. The inception of the concept of ‘extension to sets’ is established by incorporating sets like those of the integers and natural numbers which do not have a group structure. Hence in order to apply action of groups on these sets (non-group structured sets) we need to extend this concept to first define ‘action of sets’. In this paper we try to find the action of Integers on Rational numbers, Real numbers or Complex numbers which necessitates an extension of the classical definition of group action to sets. The new definitions and the following elementary examples are applied to practical situations to accomplish our purpose/intention.

"ACTION OF SETS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 4, page no.11-22, April-2019, Available :http://www.jetir.org/papers/JETIR1904A03.pdf

"ACTION OF SETS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 4, page no. pp11-22, April-2019, Available at : http://www.jetir.org/papers/JETIR1904A03.pdf