International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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SOME COMMUTATIVITY THEOREMS FOR RINGS WITHOUT UNITY

    1 Author(s):  DR. SUMAN GUPTA

Vol -  8, Issue- 8 ,         Page(s) : 302 - 306  (2017 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

This study persues to create new mathematics form an existing mathematical theory specially one presented in an axiomatic form is to generalize the theory by dropping or weakening some of its hypothesis Analogous to the symmetric group of permutations algebra of linear transformation of a vector space was studied and it was found that it does not satisfy the cummutative property xy=yx in general mathematicians like J.J. Graves. A Caley, Sophus Lie and P. Jordan Introduced more general types of algebras which do not satisfy associative law, namely (xy) z=x(yz) When these non- cummutative and non-associative algebras were introduced traditional mathematicians did not give them more importance than that of ‘FICTIONS’

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