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Prime Fuzzy Ideals, Completely Prime Fuzzy Ideals of Po-\(\Gamma \)-Semigroups Based on Fuzzy Points

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Semigroups, Algebras and Operator Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 142))

Abstract

Using fuzzy points the notions of prime fuzzy ideals, weakly prime fuzzy ideals, completely prime fuzzy ideals, and weakly completely prime fuzzy ideals of a po-\(\Gamma \)-semigroup have been introduced. Some important properties and characterizations of these ideals have been obtained. The relations among various types of primeness have also been investigated.

Author is grateful to University Grants Commission, Govt. of India, for providing research support as SRF.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Pavel Pal, Sujit Kumar Sardar & Rajlaxmi Mukherjee Pal

Authors
  1. Pavel Pal
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  2. Sujit Kumar Sardar
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  3. Rajlaxmi Mukherjee Pal
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Correspondence to Pavel Pal .

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Editors and Affiliations

  1. Department of Mathematics, Cochin University of Science and Technology (CUSAT), Kochi, Kerala, India

    P G Romeo

  2. Department of Mathematics, University of Nebraska, Lincoln, Nebraska, USA

    John. C Meakin

  3. Department of Mathematics, University of Kerala, Thiruvananthapuram, Kerala, India

    A R Rajan

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Pal, P., Sardar, S.K., Mukherjee Pal, R. (2015). Prime Fuzzy Ideals, Completely Prime Fuzzy Ideals of Po-\(\Gamma \)-Semigroups Based on Fuzzy Points. In: Romeo, P., Meakin, J., Rajan, A. (eds) Semigroups, Algebras and Operator Theory. Springer Proceedings in Mathematics & Statistics, vol 142. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2488-4_9

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