z-ideals in the Semiring ℛ^+(L_τ)

Autor: Ali Akbar Estaji, Toktam Haghdadi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Scientific Annals of Computer Science, Vol XXXIV, Iss 2, Pp 139-162 (2024)
Druh dokumentu: article
ISSN: 1843-8121
2248-2695
DOI: 10.47743/SACS.2024.2.139
Popis: Let ℛ^+(L_τ) denote the nonnegative τ-real-continuous function on a topoframe L_τ. We introduce the notion of z-ideals and maximal ideals in the semiring ℛ^+(L_τ) and state some results about them. Also, we show that the topoframe L_τ is a P-topoframe if and only if the semiring ℛ^+(L_τ) is a regular semiring.
Databáze: Directory of Open Access Journals