Graphs of Wajsberg Algebras via Complement Annihilating

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

MDPI

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, W-graph, called the notion of graphs on Wajsberg algebras, is introduced such that the vertices of the graph are the elements of Wajsberg algebra and the edges are the association of two vertices. In addition to this, commutative W-graphs are also symmetric graphs. Moreover, a graph of equivalence classes of Wajsberg algebra is constructed. Meanwhile, new definitions as complement annihilator and increment -connection operator on Wajsberg algebras are presented. Lemmas and theorems on these notions are proved, and some associated results depending on the graph's algebraic properties are presented, and supporting examples are given. Furthermore, the algorithms for determining and constructing all these new notions in each section are generated.

Açıklama

Anahtar Kelimeler

Wajsberg algebras, graphs of Wajsberg algebras, algorithms on Wajsberg algebras, complement annihilator, MV-algebras, graphs of equivalence classes, Zero-Divisor Graphs, Commuting Graphs, Ideals

Kaynak

Symmetry-Basel

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

15

Sayı

1

Künye