On kIdempotent circulant matrices

AUTHOR AND
AFFILIATION

M. RADHAKRISHNAN (rakrims@gmail.com)
Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur (India)
N. ELUMALAI
Department of Mathematics, A.V.C. College (Autonomous), Mannampandal (India)

KEYWORDS:

Idempotent, Circulant, k-Idempotent circulant, 15B05, 16Y60, 15A09.

Issue Date:

August 2018

Pages:

342-347

ISSN:

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

Source:

Vol.30 – No.8

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/300801

ABSTRACT:

In this paper we introduce the concept of kidempotent circulant matrices and discuss some of its basic characterizations. We obtain the necessary and sufficient conditions for the sum of two kidempotent circulant matrices to be kidempotent circulant and then it is generalized for the sum of ‘n’ kidempotent circulant matrices and also obtain the necessary and sufficient conditions for the product of two kidempotent circulant matrices to be kidempotent circulant and then it is generalized for the sum of ‘n’ kidempotent circulant matrices.

Copy the following to cite this Article:

M. Radhakrishnan; N. Elumalai, “On kIdempotent circulant matrices”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 8, Page Number 342-347, 2018


Copy the following to cite this URL:

M. Radhakrishnan; N. Elumalai, “On kIdempotent circulant matrices”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 8, Page Number 342-347, 2018

Available from: http://www.ultrascientist.org/paper/1488/on-kidempotent-circulant-matrices


In this paper we introduce the concept of kidempotent circulant matrices and discuss some of its basic characterizations. We obtain the necessary and sufficient conditions for the sum of two kidempotent circulant matrices to be kidempotent circulant and then it is generalized for the sum of ‘n’ kidempotent circulant matrices and also obtain the necessary and sufficient conditions for the product of two kidempotent circulant matrices to be kidempotent circulant and then it is generalized for the sum of ‘n’ kidempotent circulant matrices.