ON RADICAL AND ZERO DIVISORS IN SUPERTOPOLOGICAL RINGS
BHASKAR VASHISHTH(1) and DAVINDER SINGH(2)
1. University of Delhi, Deparment of Mathematics, 110007 New Delhi, INDIA e-mail: abelianbhaskar@gmail.com 2. Sri Aurobindo College Department of Mathematics, University of Delhi 110007 New Delhi, INDIA e-mail: dstopology@gmail.com
Abstract
The concept of supertopological rings is introduced and results related to the structure of their radical are proved. Further, we have defined D-compactness and total D-disconnectedness and proved their extension from the set of right zero divisors to the whole ring.