Relation Meet and Relation Join Matrices on Posets

Author:
1N. ELUMALAI, 2R. ANURADHA and 3R. RAJAPRIYA
Affiliation:

1,2,3Associate Professor of Mathematics,A.V.C. College (Autonomous), Mannampandal-609 305, Mayiladuthurai, India

Corresponding Author E-mail : rajipriya325@gmail.com

Keyword:
Cartesian product, relations and its properties, posets, relation meet matrix, relation join matrix. Mathematics subject classification: 15A57, 11A57, 11C57, 06A57
Issue Date:
February, 2017
Abstract:

We define relation meet and relation join matrices on two different posets R and S of a lattice with respect to a complex-valued function f on P by (X,Y)f = (f(xi  yi)) and [X,Y]f = (f [xi  yi]) respectively. Also we present some examples for the determinant and inverse of(X, Y)f and [X,Y]f

Pages:
89-100
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-A/290208
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Copy the following to cite this article:

1N. ELUMALAI, 2R. ANURADHA and 3R. RAJAPRIYA, "Relation Meet and Relation Join Matrices on Posets", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 2, Page Number 89-100, 2017

Copy the following to cite this URL:

1N. ELUMALAI, 2R. ANURADHA and 3R. RAJAPRIYA, "Relation Meet and Relation Join Matrices on Posets", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 2, Page Number 89-100, 2017

Available from: https://www.ultrascientist.org/paper/766/

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