Direct Product of BP-Algebra

Setiani, Amelia; Gemawati, Sri; Deswita, Leli

doi:10.14445/22315373/ijmtt-v66i10p510

Cited by 8 publications

(13 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The concept of the direct product [19] was first defined in the group and obtained some properties. For example, a direct product of the group is also a group, and a direct product of the abelian group is also an abelian group.…”

Section: Introductionmentioning

confidence: 99%

“…In 2019, Widianto et al [23] defined the direct product of BG-algebras, 0-commutative BG-algebras, and BG-homomorphism, including related properties of BG-algebras. In 2020, Setiani et al [19] defined the direct product of BP -algebras, which is equivalent to B -algebras. They obtained the relevant property of the direct product of BP -algebras and then defined the direct product of BP -algebras as applied to finite sets of BP -algebras, finite family 0-commutative BP -algebras, and finite family BP -homomorphisms.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Direct Product of Infinite Family of B-Algebras

Chanmanee

Chinram

Prasertpong

et al. 2022

Eur. J. Pure Appl. Math.

View full text Add to dashboard Cite

The concept of the direct product of finite family of B-algebras is introduced by Lingcong and Endam [J. A. V. Lingcong and J. C. Endam, Direct product of B-algebras, Int. J. Algebra,10(1):33-40, 2016.]. In this paper, we introduce the concept of the direct product of infinite family of B-algebras, we call the external direct product, which is a generalization of the direct product in the sense of Lingcong and Endam. Also, we introduce the concept of the weak direct product of B-algebras. Finally, we provide several fundamental theorems of (anti-)B-homomorphisms in view of the external direct product B-algebras.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Direct Product of Infinite Family of B-Algebras

Chanmanee

Chinram

Prasertpong

et al. 2022

Eur. J. Pure Appl. Math.

View full text Add to dashboard Cite

show abstract

“…The concept of the direct product [35] was first defined in the group and obtained some properties. For example, a direct product of the group is also a group, and a direct product of the abelian group is also an abelian group.…”

Section: Introductionmentioning

confidence: 99%

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

Chanmanee¹,

Chinram²,

Phrommarat³

et al. 2022

J. Math. Computer Sci.

View full text Add to dashboard Cite

show abstract

“…In 2016, the notion of direct product of B-algebra, 0commutative B-algebra and B-homomorphism were studied by Lingcong and Endham [18]. In 2020, the concept of direct product of BP-algebras was given by Setani, Gemawati and Deswita [19]. The purpose of this study is to construct the concept of direct product of bitonic algebras, and investigate commutative direct product of commutative bitonic algebras and also homomorphisms on direct product of bitonic algebras are studied.…”

Section: Introductionmentioning

confidence: 99%