Finitary ideals of direct products in quantales

Pascal Pankiti; C Nkuimi-Jugnia

doi:10.22481/recic.v3i1.8941

Autores

Pascal Pankiti Université of Yaoundé 1 https://orcid.org/0000-0002-5083-3081
C Nkuimi-Jugnia University of Yaounde I

DOI:

https://doi.org/10.22481/recic.v3i1.8941

Palavras-chave:

quantale, primness, maximality ideal

Resumo

In this paper, given two quantales non necessary with identity. We investigate the ideals, prime ideals, radical ideals, primary ideals, and maximal ideals of the direct product. Unlike the case where those quantale are unital, an ideal (or primary ideal, or maximal ideal) of the their direct product need not be a sub-product (Lemma 3.1) of ide- als. The Theorem 4.2 extends the result on [3] for the product of two quantales. 

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