2015/11/01 by Niovi Kehayopulu, Kehayopulu, Niovi, Michael Tsingelis +1 · 1 citation
Computer Science · Decision Sciences · Mathematics · #20M99 (06F99) #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:20M99
paper · pdf · doi:10.48550/arxiv.1511.00679
arxiv created 2015/11/01 · openalex publication_date 2015/11/01 · arxiv updated 2015/11/04 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
For an intra-regular or a left regular and left duo ordered Γ-semigroup M, we describe the principal filter of M which plays an essential role in the structure of this type of po-Γ-semigroups. We also prove that an ordered Γ-semigroup M is intra-regular if and only if the ideals of M are semiprime and it is left (right) regular and left (right) duo if and only if the left (right) ideals of M are semiprime.