Group Semirings Using Distributive Lattices As Semirings

AUTHOR AND
AFFILIATION

KEYWORDS:

-

Issue Date:

December 2014

Pages:

281-295

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.26 – No.3

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DOI:

jusps-A

ABSTRACT:

In this paper group semirings using distributive lattices as semirings is studied. The condition on the distributive lattices as well as on the groups are given for the group semiring to have zero divisors, idempotents, S-zero divisors, S-anti zero divisors and S-idempotents. This is the first time such analysis has been carried out on these groupsemirings.

Copy the following to cite this Article:

, “Group Semirings Using Distributive Lattices As Semirings”, Journal of Ultra Scientist of Physical Sciences, Volume 26, Issue 3, Page Number 281-295, 2016


Copy the following to cite this URL:

, “Group Semirings Using Distributive Lattices As Semirings”, Journal of Ultra Scientist of Physical Sciences, Volume 26, Issue 3, Page Number 281-295, 2016

Available from: http://www.ultrascientist.org/paper/122/


In this paper group semirings using distributive lattices as semirings is studied. The condition on the distributive lattices as well as on the groups are given for the group semiring to have zero divisors, idempotents, S-zero divisors, S-anti zero divisors and S-idempotents. This is the first time such analysis has been carried out on these groupsemirings.