• J.SURESH KUMAR

In this paper a generic definition for SR - Magic Squares is given. and group structure of SR - magic squares is discussed and SR –magic square are proved to be an abelian group. A function on SR - magic squares is also defined and it is proved to be a group homomorphism and isomorphism. The paper also deals with linear transformation, the formation of a vector space for the set of all SR - magic squares and the kernel of the mapping. And also the SR - magic squares are proved to have a ring structure and some particular SR - magic squares form commutative ring with unity. The paper also sheds light on the field structure of SR - magic squares.

Magic Square, Magic Constant, SR - Magic Square, Abelian group, Homomorphism, Isomorphism, Kernel, Linear transformation, Vector space, Ring, Field.

"ALGEBRAIC STRUCTURES ON SR – MAGIC SQUARE OF ORDER FOUR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 4, page no.392-404, April-2019, Available :http://www.jetir.org/papers/JETIR1904L59.pdf

"ALGEBRAIC STRUCTURES ON SR – MAGIC SQUARE OF ORDER FOUR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 4, page no. pp392-404, April-2019, Available at : http://www.jetir.org/papers/JETIR1904L59.pdf