1Department of Mathematics, Indian Institute of Technology, Chennai- 600 036 (India)
E-mail: vasanthakandasamy@gmail.com
In this paper the author for the first time has studied the zero divisor conjecture for the group semifields; that is groups over semirings. It is proved that whatever group is taken the group semifield has no zero divisors that is the group semifield is a semifield or a semidivision ring. However the group semiring can have only idempotents and no units. This is in contrast with the group rings for group rings have units and if the group ring has idempotents then it has zero divisors.
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W.B. VASANTHA KANDASAMY, "Zero Divisor Conjecture for Group Semifields", Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 3, Page Number , 2016Copy the following to cite this URL:
W.B. VASANTHA KANDASAMY, "Zero Divisor Conjecture for Group Semifields", Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 3, Page Number , 2016Available from: http://www.ultraphysicalsciences.org/paper/363/