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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

Issue:

SSRSMI, Number 1, Volume XXX

Section:

Volume 30, Number 1

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.

Keywords:

supertopological rings, d-compact, D-compact, D-supercontinuous, Dr-ring, totally D-disconnected set.

Code [ID]:

SSRSMI202001V30S01A0009 [0005287]

Note:

Full paper:

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