• SEMIPRIME (-1, 1) RINGS

K. SUVARNA, M. MANJULA DEVI*

Abstract


In this paper, we show that in a (-1,1) ring R, every associator commutes with every element of R, that is ((R,R,R),R)=0 and (R,R (R,R,R))=0. Using these we prove that a 2- and 3- divisible semiprime (-1, 1) ring R is associative.


Keywords


Semiprime ring, divisible ring, (-1, 1) ring.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.
© 2011-2017 Research Journal of Pure Algebra (RJPA)
Copyright Agreement & Authorship Responsibility
HTML Counter
Counter