Zero Divisor Conjecture for Group Semifields

Author:
W.B. VASANTHA KANDASAMY
Affiliation:

1Department of Mathematics, Indian Institute of Technology, Chennai- 600 036 (India)
E-mail: vasanthakandasamy@gmail.com

Keyword:
Group semirings, group rings semifield, semidivision ring.
Issue Date:
December 2015
Abstract:

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.

Pages:
ISSN:
2319-8052 (Online) - 2231-3478 (Print)
Source:
DOI:
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Copy the following to cite this article:

W.B. VASANTHA KANDASAMY, "Zero Divisor Conjecture for Group Semifields", Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 3, Page Number , 2016

Copy 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 , 2016

Available from: http://www.ultraphysicalsciences.org/paper/363/

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