On Modified Near Algebras
A.V. Ramakrishna, T.V.N. Prasanna, D.V. Lakshmi "On Modified Near Algebras", International Journal of Mathematics Trends and Technology (IJMTT). V27(2):71-73 November 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.
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.
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.
Keywords
near algebra, strong near module,
modified strong near algebra.