In this paper, we introduce a new pointfree version of the ring Cc (X), denoted by Cc (L). This construction is defined via Rα = { r ∈ R: coz(α − r) \neq ⊤ }, for α ∈ R (L),
where coz(·) denotes the cozero element. Additionally, we introduce the concept of CP-frames, examine their relationship with P-frames, and provide alternative characterizations of CP-frames. We also present several properties and characterizations of CP-frames.
Taha, M., Estaji, A. & Robat Sarpoushi, M. (2027). On the regularity of the pointfree version of the ring of continuous functions with a countable image. Journal of Frame and Matrix Theory, 3(1), 1–19. https://doi.org/10.22034/jfmt.2026.535480.1030
MLA
Taha, M., Estaji, A., & Robat Sarpoushi, M. "On the regularity of the pointfree version of the ring of continuous functions with a countable image", Journal of Frame and Matrix Theory, 3, 1, 2027, 1–19. doi: 10.22034/jfmt.2026.535480.1030
HARVARD
Taha, M., Estaji, A., & Robat Sarpoushi, M. (2027). 'On the regularity of the pointfree version of the ring of continuous functions with a countable image', Journal of Frame and Matrix Theory, 3(1), pp. 1–19. doi: 10.22034/jfmt.2026.535480.1030
CHICAGO
Taha, M., Estaji, A. & Robat Sarpoushi, M., "On the regularity of the pointfree version of the ring of continuous functions with a countable image." Journal of Frame and Matrix Theory, 3 1 (2027): 1–19, doi: 10.22034/jfmt.2026.535480.1030
VANCOUVER
Taha M., Estaji A., Robat Sarpoushi M. On the regularity of the pointfree version of the ring of continuous functions with a countable image. JFMT. 2027;3(1):1–19. doi: 10.22034/jfmt.2026.535480.1030
