Study of Semigroup Semirings Using chain lattices as Semirings

AUTHOR AND
AFFILIATION

K. JAYSHREE and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

KEYWORDS:

Semigroup semirings, Chain lattices, symmetric semigroup, zero divisors.

Issue Date:

April 2015

Pages:

ISSN:

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

Source:

Vol.27 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

In this paper we study semigroup semirings using chain lattices as semirings. Such study is new and innovative. Condition for these semigroup semirings to contain special elements like zero divisors, units and idempotents are obtained.

Copy the following to cite this Article:

K. JAYSHREE and P. GAJIVARADHAN, “Study of Semigroup Semirings Using chain lattices as Semirings”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 1, Page Number , 2016


Copy the following to cite this URL:

K. JAYSHREE and P. GAJIVARADHAN, “Study of Semigroup Semirings Using chain lattices as Semirings”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/333/


In this paper we study semigroup semirings using chain lattices as semirings. Such study is new and innovative. Condition for these semigroup semirings to contain special elements like zero divisors, units and idempotents are obtained.