On Blo-algebras-Reference-Cited by-同舟云学术

On Blo-algebras

Published:2022-05-28 Issue:01 Volume:16 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Endam Joemar C.¹,Mamhot Alice A.²

Affiliation:

1. Maths Department, Negros Oriental State University, Dumaguete City, Philippines

2. Maths Department, Silliman University, Dumaguete City, Philippines

Abstract

A B-algebra is an algebra [Formula: see text] of type (2, 0) satisfying: (I) [Formula: see text], (II) [Formula: see text], (III) [Formula: see text]. A B[Formula: see text]-algebra is an algebra [Formula: see text] such that [Formula: see text] is a B-algebra and [Formula: see text] is a poset with [Formula: see text] compatible on [Formula: see text]. In this paper, we introduce and characterize lattice ordered B-algebras (or B[Formula: see text]-algebras). A B[Formula: see text]-algebra is a B[Formula: see text]-algebra which is a lattice under its partial order. We show that a B[Formula: see text]-algebra is both distributive and torsion-free.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557122502345

Reference48 articles.

1. On finite $$B$$ B -algebra

2. Redefined fuzzy B-algebras

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1. On B-commutators of B-algebras;European Journal of Pure and Applied Mathematics;2023-07-30

2. Commutativity, B$$_{lo}$$-homomorphism, and B$$_{lo}$$-ideal of B$$_{lo}$$-algebras;Afrika Matematika;2023-03-18