DOAJ Open Access 2025

Some results on pseudo MV-algebras with n-roots

Chen Xinrong Hongxing Liu

Abstrak

The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety. Then, we introduce the concept of a strict $n$-root to classify the class of pseudo MV-algebras with $n$-root and demonstrate an equivalence between this variety and the class of $n$-divisible unital $\ell$-groups. Finally, we find a relationship between strongly atomless pseudo MV-algebra and strict pseudo MV-algebras. \\ \textbf{Keywords}: Pseudo MV-algebra; Square root; n-root; n-strict MV-algebra; Boolean algebra; Strongly atomless

Topik & Kata Kunci

Mathematics Probabilities. Mathematical statistics

Penulis (2)

Chen Xinrong

Hongxing Liu

Format Sitasi

APA MLA BibTeX

Xinrong, C., Liu, H. (2025). Some results on pseudo MV-algebras with n-roots. https://doi.org/10.23755/rm.v55i0.1722

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.23755/rm.v55i0.1722
Akses: Open Access ✓