Detailed Information

Cited 0 time in webofscience Cited 0 time in scopus
Metadata Downloads

Weak GE-Morphisms and Qualified GE-Algebras

Authors
Ahn, Sun ShinBandaru, RavikumarJun, Young Bae
Issue Date
Oct-2023
Publisher
SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS
Keywords
GE-algebra; GE-filter; Weak GE-morphism; (Idempotent) Weak GE-endomorphism
Citation
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, v.47, no.5, pp 591 - 609
Pages
19
Journal Title
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS
Volume
47
Number
5
Start Page
591
End Page
609
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68769
ISSN
0129-2021
0219-175X
Abstract
The notions of weak GE-morphism, weak GE-endomorphism are introduced and investigated its properties. Conditions for a self-map on a GE-algebra to be an idempotent and to be a weak GE-endomorphism are provided. The notion of qualified GE-algebra is introduced and its properties are investigated. Condition for a qualified GE-algebra to be an idempotent weak GE-endomorphism is given. The notion of qualified self-map is defined and a necessary and condition for a given self-map on a GE-algebra, the product of two GE-algebras under the qualified self-map to be a qualified GE-algebra is given. For a given qualified GE-algebra, using its kernel, an equivalence relation is induced, and then the quotient set is constructed. A binary operation is given on the quotient set to create a quotient qualified GE-algebra.
Files in This Item
There are no files associated with this item.
Appears in
Collections
사범대학 > 수학교육과 > Journal Articles

qrcode

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.

Altmetrics

Total Views & Downloads

BROWSE