On Modified Near Algebras

A.V. Ramakrishna; T.V.N. Prasanna; D.V. Lakshmi

doi:https://doi.org/10.14445/22315373/IJMTT-V27P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 27 | Number 2 | Year 2015 | Article Id. IJMTT-V27P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V27P513

On Modified Near Algebras

A.V. Ramakrishna, T.V.N. Prasanna, D.V. Lakshmi

Citation :

A.V. Ramakrishna, T.V.N. Prasanna, D.V. Lakshmi, "On Modified Near Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 27, no. 2, pp. 71-73, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V27P513

Abstract

The charm of the mathematics in normed algebras [1] lies in the fine interplay between the algebraic and topological properties of the algebras [2]. To see how the introduction of a norm on a strong near module bestows nice properties to a strong near module, we introduce the concept of a normed strong near module in this paper.

Keywords

near algebra, strong near module, modified strong near algebra.

References

[1]. I. Ramabhadra Sarma, T.V.N. Prasanna, J. Madhusudana Rao and A.V. Ramakrishna, Normed Near Algebras Through Semilinear Maps, Southeast Asian Bulletin of Mathematics 37 (2013), 895-901.
[2]. G.F.Simmons, Topology and Modern Analysis, McGraw-Hill, New York, 1963.
[3]. T.Srinivas and K. Yugandhar, A Note on Normed Near Algebras, Indian Jouranal of Pure and Applied Math. 20, no.5.