Mappings of the direct product of B-algebras

Lingcong, Jacel Angeline V.; Endam, Joemar C.

doi:10.12988/ija.2016.615

Cited by 7 publications

(5 citation statements)

References 4 publications

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“…Angeline et. al [6] studied some mappings on the direct product of B-algebras. On the other hand, algebraic structures namely Flower, Garden and Farm have been introduced by Al-lahham [7].…”

Section: Introductionmentioning

confidence: 99%

Direct Product and Homomorphism of Flower

Mohammed Khalid Shahoodh

2023

WJCMS

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In this paper an algebraic structure namely flower has been considered. This paper presents the notation of the direct product of two flowers and studied some of its basic properties. Then, this notation has been generalized to a finite family of flowers. Furthermore, the notation of flower homomorphism has been also studied with some of its properties. We proved some properties in view of these notations.

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Section: Introductionmentioning

confidence: 99%

Direct Product and Homomorphism of Flower

Mohammed Khalid Shahoodh

2023

WJCMS

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“…In addition, the Lagrange's Theorem for the B-algebras has been studied by Bantug and Endam [11].Then, some important mappings which concentrated on the direct product of a B-algebras have been investigated by Angeline et. al [12]. On the other hand, some authors have been presented some new concepts by combining two algebraic structures and studied some of their properties.…”

Section: Introductionmentioning

confidence: 99%

BA-Semigroup

Shahoodh¹

2023

Tikrit J. Pure Sci.

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Several algebraic structures have been studied by many authors to discuss the relationships among them. This article aims to study two algebraic structures, namely semigroup and BA-algebra, by combining them in one form, namely BA-semigroup and investigate some of its properties. This paper studied the BA-sub-semigroup, an ideal and BA-homomorphism of a BA-semigroup with some of their properties. Some examples are given to illustrate the results.

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“…Then, they extended the concept of the direct product of B -algebra to finite family B -algebra, and some of the related properties were investigated. Also, they introduced two canonical mappings of the direct product of B -algebras and we obtained some of their properties [13]. In the same year, Endam and Teves [5] defined the direct product of BF -algebras, 0-commutative BF -algebras, and BF -homomorphism and obtained related properties.…”

Section: Introductionmentioning

confidence: 99%

Direct Product of Infinite Family of B-Algebras

Chanmanee

Chinram

Prasertpong

et al. 2022

Eur. J. Pure Appl. Math.

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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.

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Mappings of the direct product of B-algebras

Abstract: In this paper, we introduce two canonical mappings of the direct product of BF-algebras and we obtain some of their properties.

Cited by 7 publications

References 4 publications

Direct Product and Homomorphism of Flower

Direct Product and Homomorphism of Flower

BA-Semigroup

Direct Product of Infinite Family of B-Algebras

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