Primeness in Quantales

Flaulles Boone Bergamaschi; Regivan Hugo Nunes Santiago; Alexsandra Oliveira Andrade

doi:10.22481/recic.v1i1.4928

Autores

Flaulles Boone Bergamaschi uesb
Regivan Hugo Nunes Santiago UFRN
Alexsandra Oliveira Andrade

DOI:

https://doi.org/10.22481/recic.v1i1.4928

Palavras-chave:

Primeness; Prime ideal; Strong; Quantales.

Resumo

In this paper we propose a new concept of primeness in quantales. It is proved that this concept coincide with classical definition in commutative quantales, but no longer valid in the noncommutative setting. Also, the notions of strong and uniform strong primeness are investigated.