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Category: Issue 8

On kIdempotent circulant matrices

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)

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.

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


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...

Advances and Required Changes in Topology Discovered in the Continued Investigation of T0-identification Spaces

CHARLES DORSETT (irvindorsett@gmail.com)
Department of Mathematics, Texas A&M University-Commerce Commerce, Texas 75429 USA

ABSTRACT:

In this paper discoveries and additional, useful topological tools revealed in the continued investigation of T0-identification spaces are given, and easily used conditions that imply a space is not completely regular or T(3(12)) are given.

KEYWORDS: To-identification spaces, classical separation axioms, negations, 54D10, 54D15.


In this paper discoveries and additional, useful topological tools revealed in the continued investigation of T0-identification spaces are given, and easily used conditions that imply a space is not...