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Cozero Divisor Graph of a Commutative Rough Semiring

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Advances in Algebra and Analysis

Part of the book series: Trends in Mathematics ((TM))

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Abstract

In this paper, we define the ideal generated by an element in the commutative rough semiring (T, Δ, ∇). The characterization of this ideal along with its properties are also studied. The cozero divisor graph of a commutative rough semiring is defined using this ideal. These concepts are illustrated through examples.

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Author information

Authors and Affiliations

  1. SSN College of Engineering, Chennai, Tamil Nadu, India

    B. Praba

  2. School of Advanced Sciences, VIT, Vellore, India

    A. Manimaran & V. M. Chandrasekaran

  3. Department of Mathematics, Yazd University, Yazd, Iran

    B. Davvaz

Authors
  1. B. Praba
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  2. A. Manimaran
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  3. V. M. Chandrasekaran
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  4. B. Davvaz
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Corresponding author

Correspondence to A. Manimaran .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    V. Madhu

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Manimaran

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Easwaramoorthy

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Kalpanapriya

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Mubashir Unnissa

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Praba, B., Manimaran, A., Chandrasekaran, V.M., Davvaz, B. (2018). Cozero Divisor Graph of a Commutative Rough Semiring. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_9

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