External and weak direct products of UP (BCC)-algebras

Chanmanee, C.; Chinram, R.; Phrommarat, N.; Julatha, P.; Lekkoksung, N.; Iampan, A.

doi:10.22436/jmcs.029.01.08

Cited by 1 publication

(1 citation statement)

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“…Chanmanee et al [5] proposed the idea of the DP of infinite family of UP-algebras and showed that it is a DUP-algebra in the same year, referring to the EDP as a DUP-algebra induced by UP-algebras. Chanmanee et al [3] established the idea of the DP of an infinite family of UP (BCC)-algebras, which they dubbed the EDP, and discovered the outcome of the EDP of certain UP (BCC)-algebras.…”

Section: Introductionmentioning

confidence: 99%

A Note on External Direct Products of BP-algebras

Chanmanee¹,

Prasertpong²,

Julatha³

et al. 2023

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The notion of BP-algebras was introduced by Ahn and Han [2] in 2013, which is related to several classes of algebra. It has been examined by several researchers. In the group, the concept of the direct product (DP) [21] was initially developed and given some features. Then, other algebraic structures are subjected to DP groups. Lingcong and Endam [16] examined the idea of the DP of (0-commutative) B-algebras and B-homomorphisms in 2016 and discovered several related features, one of which is a DP of two Balgebras that is a B-algebra. Later on, the concept of the DP of B-algebra was expanded to include finite family B-algebra, and some of the connected issues were researched. In this work, the external direct product (EDP), a general concept of the DP, is established, and the results of the EDP for certain subsets of BP-algebras are determined. In addition, we define the weak direct product (WDP) of BP-algebras. In light of the EDP BP-algebras, we conclude by presenting numerous essential theorems of (anti-)BP-homomorphisms.

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Section: Introductionmentioning

confidence: 99%