Ideals of a commutative rough semiring

Authors

  • V.M. Chandrasekaran VIT University, India
  • A. Manimaran VIT University, India
  • B. Praba SSN College of Engineering, Kalavakkam, India

Keywords:

monoid, commutative monoid, regular monoid, ideal, principal ideal, rough semiring

Abstract

In this paper, we proved that for every subset X of U there is a corresponding ideal JX of the rough semiring (T, Δ, ∇) also we gave a characterization theorem for the ideals in the rough semiring (T, Δ, ∇) by proving every ideal in (T, Δ, ∇) will be of the form JX for some subset X of U and the properties of these ideals are discussed with suitable examples.

Author Biographies

V.M. Chandrasekaran, VIT University, India

School of Advanced Sciences, Vellore-632014

A. Manimaran, VIT University, India

School of Advanced Sciences, Vellore-632014

B. Praba, SSN College of Engineering, Kalavakkam, India

Chennai - 603110

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Published

2017-10-10

Issue

Vol. 10(59) No. 1 (2017)

Section

MATHEMATICS