14-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
Left Hopf Algebras and Self Duality
Left Hopf Algebras and Self Duality
Subject
:
Mthematics
Document Language
:
English
Abstract
:
In this paper, we introduce the concept of a left bicrossproduct Hopfalgebra associated to a factorization of a finite group X into a subgroupG and a subsemigroup M. Moreover, we show that for a left Hopf algebraH = kM k(G) associated to a factorization X = GM of a groupX into a subgroup G and a subsemigroup M with identity and leftinverse property, there is a left Hopf algebra isomorphism H → H∗which sends basis elements to basis elements can be constructed from afactor-reversing isomorphism of X = GM and vise versa.
ISSN
:
1312-7594
Journal Name
:
International Mathematical Forum
Volume
:
4
Issue Number
:
45-48
Publishing Year
:
2009 AH
2009 AD
Article Type
:
Article
Added Date
:
Saturday, January 30, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محمد موسى الشمراني
Al-Shomrani, M M
Researcher
Doctorate
malshomrani@hotmail.com
هتون شعيب
Shoaib, H
Researcher
Master
Files
File Name
Type
Description
24948.pdf
pdf
Abstract
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