Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
Several co-associative laws and pre-B-algebrasopen access
- Authors
- Donganont, Siriluk; Ahn, Sun Shin; Kim, Hee Sik
- Issue Date
- 2025
- Publisher
- AIMS Press
- Keywords
- pre-B-algebra; B-algebra; d-algebra; co-associative; perpendicular to-algebra; anti-commutative; post groupoid; pre-semigroup
- Citation
- AIMS Mathematics, v.10, no.4, pp 9332 - 9341
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 10
- Number
- 4
- Start Page
- 9332
- End Page
- 9341
- ISSN
- 2473-6988
2473-6988
- Abstract
- In this paper, we introduce several co-associative laws and the notion of a pre-B-algebra. We show that every B-algebra is both a pre-B-algebra and a perpendicular to-algebra. We apply the notions of a post groupoid and a pre-semigroup of a groupoid to the set (N, +) of all nonnegative integers, and we prove that the groupoid (N, +) cannot be a post groupoid of a B-algebra or an edge d-algebra.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)