n-roots on MV-algebras
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We introduce and investigate n-roots in the context of MV-algebras as a generalization of square roots introduced in [16]. We outline their main properties and establish that the class of MV-algebras with n-roots, MVnr, forms a variety. Next, we introduce the concept of strict n-roots and demonstrate an equivalence between MVnr and the class of n-divisible unital ?-groups. It helped us to show that each MV-algebra with an n-root is a direct product of an n-strict MV-algebra and a Boolean algebra. Finally, we delve into the connection between strongly atomless MV-algebras and MV-algebras with strict n-roots, demonstrating that in the context of MVnr, these concepts are equivalent. © 2024
Açıklama
Anahtar Kelimeler
Boolean Algebra, Mv-Algebra, N-Root, N-Strict Mv-Algebra, Square Root, Strongly Atomless
Kaynak
Fuzzy Sets and Systems
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
484
