Fuzzy Primeness in Quantales

  • Flaulles Boone BergamaschiEmail author
  • Regivan H. N. Santiago
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 276)


This paper is an investigation about primeness in quantales environment. It is proposed a new definition for prime ideal in noncommutative setting. As a consequence, fuzzy primeness can be defined in similar way to ring theory.



The authors would like to thank UESB (Southwest Bahia State University) and UFRN (Federal University of Rio Grande do Norte) for their financial support. This research was partially supported by the Brazilian Research Council (CNPq) under the process 306876/2012-4.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Flaulles Boone Bergamaschi
    • 1
    Email author
  • Regivan H. N. Santiago
    • 2
  1. 1.Southwest Bahia State UniversityVitória da ConquistaBrazil
  2. 2.Federal University of Rio Grande do NorteNatalBrazil

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