IJPAM: Volume 112, No. 5 (2017)

Title

S-DERIVATION PAIRS AND
JORDAN S-DERIVATION PAIRS ON SEMIRING

Authors

V. Thiruveni$^1$, S.P. Nirmala Devi$^2$, M. Chandramouleeswaran$^3$
$^{1,3}$Saiva Bhanu Kshatriya College
Aruppukottai, 626101, Tamilnadu, INDIA
$^2$Sri S. Ramasamy Naidu Memorial College
Sattur, Tamilnadu, INDIA

Abstract

Based on the works on derivations on rings and near rings, in 2010, we introduced the notion of derivation on semirings . In our earlier paper [9], we introduced the notion of Derivation Pairs and Jordan Derivation Pairs on semirings and prove some results. In this paper, we introduce the notion of S-Derivation Pairs and Jordan S-Derivation Pairs on a semiring and analyze their properties.

History

Received: December 20, 2016
Revised: January 19, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification:
Key Words and Phrases: derivation on Semirings, Jordan derivation on semirings, derivation pairs and Jordan derivation pairs on semirings, S-derivation pairs and Jordan S-derivation pairs on semirings

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Bibliography

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8
S.P.Nirmala Devi and M.Chandramouleeswaran, Generalized derivations and Higher derivations on Semirings, Ph.D. Thesis.

9
V. Thiruveni, S.P. Nirmaladevi and M.Chandramouleeswaran, Jordan Derivation Pairs on Semiiring, Journal of Indian Academy of Mathematics, Vol. 39 No. 1, (2017), Accepted

How to Cite?

DOI: 10.12732/ijpam.v112i5.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 5
Pages: 1 - 8


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